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251.

A monkey climbs up a greased pole, ascends 20m and slip 4m in alternate minutes. If the pole is 96m high, how many minutes will it take to reach the top?

Answer»

54/5



net height climbed in 2 min = 20m - 4m = 16m
In 10 min the net height climbed = 16 * 10/2 = 80m
Remaining height = 96M - 80m = 16m
In the 11th min , the monkey will be ascending up. 
Time taken to ASCEND the last 16MIN
16/20 = 4/5min
Total time taken = 10 + 4/5 = 54/5 min

252.

Gurmit can row a certain distance downstream in 5 hours and return the same distance in 12 hours. If the stream flows at the rate of 4 km per hour, find the speed of Gurmit in still water.

Answer»

9 5/7 KM/h



Let the distance covered by GURMIT be D km and X be the SPEED of Gurmit in still water.
Then, D/x-4 = 12h …….(i)
&
D/x+4 = 5H

253.

A policeman saw a thief at a distance of 200 m. The policeman and the thief started running at the same time. If the policeman runs at a speed of 4 1/6 m per second and the thief at a speed

Answer»

4 mins



NA

254.

Excluding stoppages, the speed of a bus is 54 km/hr. and including stoppages it is 45 km/hr. for how many minutes does the bus stop per hour ?

Answer»

10



NA

255.

A person goes from one point to another point with a speed of 5 km/h and comes back to starting point with a speed of 3 km/h. Find the average speed for the whole journey.?

Answer»

3. 75 km/h



NA

256.

The speed of a car increases by 2 kms after every one hour. If the distance travelled in the first one hour was 35 kms, what was the total distance traveled in 12 hours ?

Answer»

552 kms



NA

257.

A and B are 20 km apart. A can walk at an average speed of 4 km/hr and B at 6 km/h. If they start walking towards each other at 7:000 am, when they will meet?

Answer»

9:00 am



NA

258.

Two girls move in opposite directions, one from A to B and other from B to A. The girl from A reaches the destination in 16 hrs and girl from B reaches her destination in 25 hrs, after having met. If

Answer»

20 km/hr



NA

259.

A truck covers a distance of 550 metres in 1 minute whereas a train covers a distance of 33 kms in 45 minutes. What is the ratio of their speed?

Answer»

3 : 4



SPEED of the truck = Distance/Time=550/1=550 meters/minute
Speed of the TRAIN = Distance/Time=33/45 km/minute = 33000/45 meters/minut
Speed of the truck/Speed of the train = 550/(33000/45) = (550 × 45)/33000 = (55 × 45)/3300
= (11 × 45)/660 = (11×9)/132 = 9/12 = 34
Hence, Speed of the truck : Speed of the train = 3 : 4

260.

Rahim covers a certain distance in 14 hrs 40 min. He covers one half of the distance by train at 60km/hr and the rest half by road at 50 km/hr. The distance travelled by him is:

Answer»

800km



NA

261.

A bus covered a distance of 250 km, partly at an average speed of 40 kmph and partly at 60 kmph. If the total time taken is 5 hours, then the distance covered at 40 kmph is

Answer»

100km



NA

262.

Two men start together to walk to a certain destination, one at 3 km/hr and another at 3.75 km/hr. The latter arrives half an hour before the farmer. The distance is:-

Answer»

7.5 km



NA

263.

Two men start together to walk a certain distance, one at 4 kmph and another at 3 kmph.The former arrives half an hour before the latter. Find the distance.

Answer»

6 KM 



NA

264.

A car covers four successive three km stretches at speed of 10 km/hr, 20 km/hr, 30 km/hr and 60 km/hr. respectively. Its average speed over this distance is ?

Answer»

20 km/hr .



NA

265.

A man covers a certain distance with a uniform speed of x km/h. Had he moved 4 km/h faster, he would have taken 30 minutes less. If he had moved 3 km/h slower, he would have taken 30 minutes more. Fin

Answer»

24 km/hr



Let the DISTANCE be D km
and the INITIAL SPEED be X km/hr
we have D/x+4 = D/x - 30/60

266.

Two trains are moving at 50 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?

Answer»

7 ½ SEC



70 + 50 = 120 * 5/18 = 100/3 mps

D = 150 + 100 = 250 m

T = 250 * 3/100 = 15/2 = 7 ½ sec

267.

A train 150 m long running at 72 kmph crosses a platform in 25 sec. What is the length of the platform?

Answer»

350 m



D = 72 * 5/18 = 25 = 500 – 150 = 350

268.

A train 100 m long crosses a platform 125 m long in 15 sec; find the speed of the train?

Answer»

54 KMPH



D = 100 + 125 = 225

T = 15

S = 225/15 * 18/5 = 54 kmph

269.

What distance will be covered by a bus moving at 72 kmph in 30 seconds?

Answer»

600 m



72 KMPH = 72 * 5/18 = 20 mps

D = Speed * TIME = 20 * 30 = 600 m.

270.

In how much time will a train of length 100 m, moving at 36 kmph cross an electric pole?

Answer»

10 sec



Convert kmph to mps. 36 kmph = 36 * 5/18 = 10 mps.

The DISTANCE to be COVERED is EQUAL to the length of the train.

Required time t = d/s = 100/10 = 10 sec.

271.

In a covering a certain distance the speed of A and B are in the ratio of 6: 9, A takes 20 min more, than B to reach the destination. The time taken by A to reach the destination is:

Answer»

1 Hour



NA

272.

A train travelled at an average speed of 100 km/hr, stopping for 3 minutes after every 75 km. How long did it take to reach its destination 600 km from the starting point?

Answer»

6 HRS 21 min



Time taken to TRAVEL 600 km = Distance/Speed =600/100 = 6 hour
Now we need to find out the NUMBER of stops in the 600 km travel.
Given that train stops after EVERY 75 km.
600/75 = 8

It means train stops 7 times before 600 km and 1 time just after 600 km. Hence we need

to TAKE only 7 stops into consideration for the 600 km travel.

Hence, total stopping time in the 600 km travel = 7 x 3 = 21 minutes

Total time needed to reach the destination = 6 hours + 21 minutes = 6 hrs 21 min

273.

An aeroplane flying 1000 km covers the first 200 km at the rate of 200 km/hr, the second 200 km at 400 km/hr, the third 200 km at 600 km / hr & last 200 km at the rate of 800 km/hr. Determine the aver

Answer»

480 km/hr



NA

274.

A bus covers a distance of 400 km with a speed of 20 km/h. What time is taken by the bus to cover this distance?

Answer»

20h



NA

275.

Excluding stoppages, the speed of a bus is 54 km/hr and including stoppages, it is 45 km/hr. For how many minutes does the bus stop per hour?

Answer»

10



Due to stoppages, it COVERS 9 KM less.

Time taken to COVER 9 km = 9/54 * 60 = 10 min.

276.

A car after covering half of a distance of 100 km develops some engine trouble and later travels at half its original speed. As a result it arrives 2 hours later than its normal time. What was the ori

Answer»

25 km/hr



NA

277.

A boy rides his bicycle 10 km at an average speed of 12 km/hr and again travels 12 km at an average speed of 10 km/hr. His average speed for the entire trip is approximately

Answer»

10.8 km/hr



NA

278.

The average speed of a car is 75 km/h. The driver first decrease its average speed by 40% and then increase it by 50%. What is the new average speed now ?

Answer»

67.5 km



NA

279.

By walking at 4/5 of his usual speed, Mohan is 6 minute late to his office. find his usual time to cover the distance.

Answer»

 24 minute



NA

280.

A person travels from A to B at a speed of 40 km/hr and returns by increasing his speed by 50%. What is his average speed for both the trips?

Answer»

48 km/hr



Method : 1
If a car covers a CERTAIN distance atxkmph and an equal distance at y kmph,
the average SPEED of the whole journey = 2xy/x+y kmph.
By using the same formula, we can find out the average speed quickly
Speed with which he travels from A to B = x = 40 km/hr
Speed with which he travels from B to A = x = 40×(100+50)/100 = 60 km/hr
average speed = (2×40×60)/(40+60) = 48 km/hr

Assume that distance from A to B = x km

Speed with which he travels from A to B = x = 40 km/hr

Time to travel from A to B = distance/speed = x/40 hr

Speed with which he travels from B to A = 40×(100+50)/100 = 60 km/hr

Time to travel from B to A = distance/speed = x/60

Total distance traveled = x+x = 2X

Total time taken = x/40 + x/60

Average speed = Total distance traveled/Total time taken = 2x/(x/44)+(x/60)

= 2/[(1/60)+(1/40)] = (2×2400)/(40+60) = 2×24 = 48 km/hr

281.

A man covers a certain distance on a scooter. Had he moved 6 km/h faster, he would have taken 30 minutes less. If he had moved 2 kmh"1 slower he would havetaken 30 minutes more. What is the distance ?

Answer»

6 KM



We can FIND the speed originally
S = X1X2(t1+t2)/t2t1-t1t2
= (6X2)(1/2 + 1/2)/6/2 - 2/2
= 12x1/3-1 = 12/2 = 6 kmh-1
DISTANCE = t1xS(S+x1)/x1= 1/2x6(6 + 6)/636/6 = 6 km

282.

The speed of a bus increases by 2 km after every one hour. If the distance travelling in the first one hour was 35 km. what was the total distance travelled in 12 hours?

Answer»

Given that distance travelled in 1st hour = 35 km
and speed of the bus increases by 2 km after every one hour
Hence distance travelled in 2nd hour = 37 km
Hence distance travelled in 3rd hour = 39 km
..
Total Distance Travelled = [35 + 37 + 39 + ... (12 terms)]
This is an Arithmetic Progression(AP) with
first TERM, a=35, number of terms,n = 12 and common difference, d=2.

The sequence a , (a + d), (a + 2D), (a + 3D), (a + 4D), . . . 
is called an Arithmetic Progression(AP)
where a is the first term and d is the common difference of the AP
Sum of the first n terms of an Arithmetic Progression(AP),
Sn = n/2[2a+(n−1)d]
where n = number of terms
Hence, [35+37+39+... (12 terms)]
= S12 = 122[2 × 35 +(12 − 1)2] 
= 6[70 + 22] = 6 × 92 = 552
Hence the total distance travelled = 552 km

283.

A student rides on bicycle at 8km/hr and reaches his school 2.5min late. The next day he increases his speed to 10km/hr and reaches school 5 minutes early. How far is the school from his house ?

Answer»

5km



let x km be the REQUIRED distance
Difference in TIME = 2.5 + 5 = 7.5
7.5/ 60 hours = 1/8 hours
Now, 5x - 4x / 40 = 1/8
or x = 5km

284.

A man complete a journey in 10 hrs. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km?

Answer»

224 km



Let the TOTAL distance be x km.

Then, [(1/2 x) / 21 + (1/2 x) / 24] = 10

15x = 168 * 20 => x = 224 km.

285.

A man by motorcycle goes from Delhi to Bharatpur , a distance of 192 km, at an average speed of 32 kmph. Another man starts from Delhi by car 2.5 h after the motorcyclist starts and reaches Bharatpur

Answer»

 2:3



NA

286.

A car started running at a speed of 30 km/hr and the speed of the car was increased by 2 km/hr at the end of every hour. Find the total distance covered by the car in the first 10 hours of the journey

Answer»

390 km



The total distance COVERED by the CAR in the first 10 hours = 30 + 32 + 34 + 36 + 38 + 40 + 42 + 44 + 46 + 48 = sum of 10 terms in AP whose first TERM is 30 and last term is 48 = 10/2 [30 + 48] = 390 km.

287.

How long does a train 165 meters long running at the rate of 54 kmph take to cross a bridge 660 meters in length?

Answer»

55 sec



T = (660 + 165)/54 * 18/5

T = 55

288.

If a child walks at the rate of 5m/min from his home, he is 6 minutes late for school, if he walks at the rate of 7m/min he reaches half an hour earlier. How far is his school from his home ?

Answer»

 630 min



NA

289.

A man on tour travels first 160 km at 64 kmph and the next 160 km at 80 kmph. The average speed for the first 320 km of the tour is :

Answer»

71.11 kmph



Total time TAKEN = (160/64 + 160/8) HOURS = 9/2 hours.
So, average SPEED = [320 x (2/9)] kmph = 71.11 kmph.

290.

A car moves at the speed of 90 km/hr. What is the speed of the car in meters per second?

Answer»

25 m/s



NA

291.

A bike covers a certain distance at the speed of 64 km/h in 8 h. If the bike was to cover the same distance in approximately 6h, at what approximate speed should the bike travel?

Answer»

85 km/h



NA

292.

A speed of 36 km/hr. is the same as ?

Answer»

10 m/sec.



NA

293.

A boy goes to his school from his house at a speed of 3 km/hr and returns at a speed of 2 km/hr. If he takes 5 hours in going and coming. The distance between his house and school is?

Answer»

6 KM



Average SPEED = (2 * 3 * 2) / (3 + 2) = 12/5 km/hr.

Distance traveled = 12/5 * 5 = 12 km.

Distance between house and SCHOOL = 12/2 = 6 km.

294.

I walk a certain distance and ride the car back taking a total time of 33 Minutes. I could walk both sides in 45 min. How long would it take me to ride both ways?

Answer»

21 Minutes



NA

295.

A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot @ 4 km/hr and partly on bicycle @ 9 km/hr. The distance travelled on foot is:

Answer»

16 km



NA

296.

A man crosses a road 250 meters wide in 75 seconds. His speed in km/hr is

Answer»

12



NA

297.

A certain distance is covered by a cyclist at a certain speed.If a jogger covers half the distance in double the time,the ratio of the speed of the jogger to that of the cyclist is :

Answer»

1 : 4



NA

298.

A car moves at the speed of 60 Km/hr. what is the speed of the car in meters per second ?

Answer»

50/3 m/sec



NA

299.

A cyclist covers a distance of 750 meter in 2 minutes 30 seconds. What is the speed in km/hr of cyclist

Answer»

18 km/hr



NA

300.

Sound is said to travel in air at about 1100 feet per second. A man hears the axe striking the tree, 11/5seconds after he sees it strike the tree. How far is the man from the wood chopper?

Answer»

2420 ft



Speed of the SOUND = 1100 ft/s
TIME11/5 second
Distance = Speed × Time = 1100 ×11/5 = 220 × 11= 2420 ft