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301.

A man covers a certain distance on bike. Had he moved 4 kmph faster, he would have taken 72 minutes less. If he moves slow by 4 kmph, he will take hours more to cover the distance. What is the distanc

Answer»

96 km



Let the DISTANCE be 'D' and the SPEED be 'X' kmph.
D/x + 4 = D/x - 72/60
D/x - D/(x - y) = 6/5 = D(x + 4 - x)/x(x - 4) = 6/5
∴ D/x(x + 4) = 3/10

302.

In covering a certain distance, the speeds of A and B are in the ratio of 3:4. A takes 30 minutes more than B to reach the destination. The time taken by A to reach the destination is

Answer»

2 hours



NA

303.

A man covered a distance of 12 km in 90 min by cycle. How much distance will he cover in 3 h, if he rides the cycle at a uniform speed?

Answer»

24 km



NA

304.

A man travelled from the village to the post office at the rate of 25 kmph and walked back at the rate of 4 kmph. If the whole journey took 5 hours 48 minutes, find the distance of the post office fro

Answer»

20 km



Average speed = (2XY/X+Y) kmph = {(2 x 25 x 4)/25+4} = 200/29 kmph
DISTANCE travelled in 5 hours 48 minutes i.e. (200/29)X(29/5) = 40 km.
Hence, Distance of the post OFFICE from the village = 40/2 = 20 km.

305.

Two stations P and Q are 110 km apart on a straight track. One train starts from P at 7 a.m. and travels towards Q at 20 kmph. Another train starts from Q at 8 a.m. and travels towards P at a speed of

Answer»

10.30 am 



NA

306.

Robert is travelling on his cycle and has calculated to reach point A at 2 P.M. if he travels at 10 kmph; he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach

Answer»

12 kmph



NA

307.

A train can travel 50% faster than a car. Both start from point A at the same time and reach point B at 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes whil

Answer»

120 km/hr



Let speed of the CAR be X km/hr.

Then, speed of the TRAIN = 150/100 x = 3/2 x km/hr.

75/x - 75/(3/2 x) = 125/(10 * 60)

75/x - 50/x = 5/24 = 120 km/hr.

308.

A is faster than B. A and B each walk 24 km. The sum of their speeds is 7 kmph and the sum of times taken by them is 14 hours. Then, A's speed is equal to:

Answer»

3 kmph



Let A's SPEED = X kmph , Then B's speed = (7 - X) kmph
So, 24/X + 24/(7 - X) = 14
After solving the equation , we GET X = 3 , 4
Since, A is faster than B, So A's speed = 4 kmph and B's speed = 3 kmph.

309.

Swati walks 150m everyday. How many kilometres will she walk in three weeks?

Answer»

3.15



NA

310.

A person travels equal distances with speeds of 3 kmph, 4 kmph and 5 kmph and takes a total time of 47 min. The total distance (in kmph) is:

Answer»

3



Let the total distance be X KM.
Then, X/3 + X/4 + X/5 = 47/60
X = 1
Total distance = (3 x 1) km = 3 km.

311.

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

Answer»

7.5km



NA

312.

In a stream running at 3 km/h, a motorboat goes 8 km upstream and back again to the starting point in 120 minutes. What is the speed of the motorboat in still water ?

Answer»

9 kmh-1



Let the speed of the motorboat be V khm-1
∴ 8/V+3 + 8/V - 3 = 2
8V - 24 + 8V + 24/V² - 9
16V/V² - 9 = 2
∴ 2V² - 18 = 16V
V² - 9V + V - 9 = 0
V(V-9) + 1(V-9) = 0
(V + 1) (V - 9) = 0
∴ V = 9 - 1, (-ve not possible )
∴ V = 9 khm-1

313.

A motor boat takes 12 hours to go downstream and it takes 24 hours to return the same distance. what is the time taken by boat in still water?

Answer»

16 h



NA

314.

A boat goes 6 km an hour in still water, but it takes thrice as much time in going the same distance against the current. The speed of the current (in km/hour) is

Answer»

4 km/hrs



4 km/hrs

315.

A car during its journey travels 30 minutes at a speed of 40 kmph, another 45 minutes at a speed of 60 kmph, and 2 hours at a speed of 70 kmph.The average speed of the car is

Answer»

63.07 kmph



NA

316.

About to leave for home from his office, a person notices a problem with his car and travels home at a speed which is less than his usual speed and takes 20% more of usual time. What is the average sp

Answer»

(5/6)th of the ORIGINAL SPEED



Time taken is 20% more than the usual time.
i.e. If t is the time, then (6/5)t is the ACTUAL time taken.
i. e. t has become (6/5)t
Hence, speed will become (5/6)s, where s is actual speed.

317.

A car moves at the speed of 80km/hr. What is the speed of the car in metres per second?

Answer»

200/9 m/sec



NA

318.

Two cars ' X ' and ' Y' starts from Delhi to Mumbai. How much time does X take to reach Mumbai ? I The speed of car X is 40% of the speed of' Y'. II ' Y' took 16 hours to reach Mumbai.

Answer»

If the QUESTION can be ANSWERED using both the statements together, but cant be answered using either statement alone.



Both the statements are required to answer the question.
suppose the distance between DELHI to Mumbai is D KM and speed of Y is V kmh-1
∴ D/V = 16
From (I),
speed of X is X = 40/100 x V = 2V/5
So time taken = D/(2V/5) = D/1 x 5/2V
∴ 5/2 D/V = 5/2 x 16 = 40 hours.

319.

Laxman has to cover a distance of 6 km in 45mintues, if he covers one half of the distance in rd time, what should be his speed to cover the remaining distance in the remaining time:

Answer»

12 km/hr



NA

320.

A boat sails 15 km of a river towards upstream in 5 hours. How long will it take to cover the same distance downstream, if the speed of current is one-fourth the speed of the boat in still water:

Answer»

3h



NA

321.

Walking at the rate of 4 kmph a man cover certain distance in 2 hr 45 min. Running at a speed of 16.5 kmph the man will cover the same distance in.

Answer»

40 min



Distance = SPEED * TIME
4*11/4 = 11km
New Speed = 16.5 kmph
Therefore time = D/S = 11/16.5 = 40MIN

322.

A man rows to a place 48 Km distance and back in 14 hours. He finds that he can row 4 Km with the stream in the same time 3 Km against the stream. The rate off the stream is?

Answer»

1 KMPH



Let be moves 4 km downstream in X Hours 

Then in SPEED downstream = Kmph 

Speed in upstream = 4/X Kmph 

==> 48/4/X + 48/3/X = 14 

==> 12X + 16X =14 

==> X = 1/2 

Speed in downstream = 8 Kmph 

Speed in up stream = 6 Kmph 

Then the RATE of stream = 1/2 (8 - 6) = 1 Kmph

323.

In a stream running at 2 Kmph, a motor boat goes 10 Km upstream and back again to the starting point in 55 minutes. Find the speed of motor boat in still water?

Answer»

22 kmph



Let the speed of motor boat instill water be X kmph 

Then, speed in downstream = (X + 2) km 

and. speed in upstream = (X - 2) kmph 

Time taken to ROW 10KM & BACK = (10/X+2,10/X-2) 

10/X+2 + 10/X-2 = 55/60 

11X² - 240X - 44 = 0 

(X - 22)(11x + 2) = 0 

X = 22 or X = -2/11 

Then X = 22 kmph

324.

A man can row 8 Kmph in still water. If the velocity of the current is 2 Kmph and it takes him 2 hours to row to a place and come back. How far is the place?

Answer»

7.5 km



Man's rate down stream = 8 + 2 = 10 kmph 

Man's rate upstream = 8 - 2 = 6 kmph 

Let the REQUIRED DISTANCE be X km 

Then X/10 + X/6 = 2 

3X + 5X = 60 

8X = 60 

X = 7.5 km

325.

In an hour a boat goes 10 Km along the stream and 4 Km against the stream. The speed of the boat in still water (in Kmph) is:

Answer»

7 KMPH



Let the speed of stream = X Kmph 

and the speed of WATER = 8 Kmph 

X + Y = 10 

X - Y = 4 

X = 7, Y = 3 

Speed of stream = 7 Kmph

326.

The speeds of three cars are in the ratio 1:2:5 the ratio of times taken by these cars to travel the same distance is:

Answer»

10:5:2



NA

327.

A 125 m long train is running at 45 km/h. In how much time will it cross a tunnel 375 m long?

Answer»

40 s



NA

328.

150 m long train is running at 36 km/h. In how much time, will it cross an eletric pole?

Answer»

15 s



NA

329.

Walking with 4/5 of his usual speed, a man covers a ceratin distance in 30 min more than the time he takes to cover the distance at his usual speed. The time taken by him to cover the distance with us

Answer»

2 h



NA

330.

A man takes 6 hours 15 minutes in walking a distance and riding back to the starting place. He could walk both ways in 7 hours 45 minutes. The time taken by him to ride both ways, is

Answer»

4 HOURS 45 minutes



NA

331.

Amy has to visit towns B and C in any order. The roads connecting these towns with her home are shown on the diagram. How many different routes can she take starting from A and returning to A, going t

Answer»

8



NA

332.

Two trains A and B start simultaneously in the opposite direction from two points P and Q and arrive at their destinations 16 and 9 hours respectively after their meeting each other. At what speed doe

Answer»

160 km/h



NA

333.

A man, on tour travel first 160 km. at 64 km/hr. and the next 160 km. at 80 km/hr. The average speed for first 320 km. of the tour is ?

Answer»

71.11 km/hr



NA

334.

A man covers a certain distance upto the post office with the speed of 4 km/hr and returns back with the speed of 3 km/hr. If he covered the total distance in 3 1/2 hr, what was the total distance he

Answer»

12 KM



12 km

335.

A man takes 6 hours and 35 minutes in walking to a certain place and riding back. He would have taken 2 hours less by riding both ways. What would be the time he would take to both ways ?

Answer»

8hours and 35minutes



TIME taken in WALKING one way + riding other way = 6hours and 35 minutes-- eq(1)
Time taken in riding both WAYS = 4HOURS 35mineq (2)
By equation 1 * 2 - equation 1 = 2* 6hours and 35min - 4hours and 35min 
= 8hours and 35min

336.

If a train, travelling at a speed of 90 kmph, crosses a pole in 5 sec, then the length of train is?

Answer»

125 m



D = 90 * 5/18 * 5 = 125 m

337.

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

Answer»

10



NA

338.

A man crosses a street 600 m long in 5 minutes. His speed in km. per hour is:

Answer»

7.2



NA

339.

A train leaves Meerut at 6 a.m. and reaches Delhi at 10 a.m. Another train leaves Delhi at 8 a.m. and reaches Meerut at 11.30 a.m. At what time do the two train cross one another:

Answer»

8.56 a.m.



NA

340.

A thief steals a car at 1.30 p.m. and drives It at 45 km an hour. The theft is discovered at 2 p.m. and the owner sets off in another car at 50 km an hour. He will overtake the thief at:

Answer»

4 p.m.



NA

341.

A car completes a certain journey in 8 hours. It covers half the distance at 40 km/hr and the rest at 60km/hr. The length of the journey is:

Answer»

384km



NA

342.

A man can row 24 kmph in still water. It takes him thrice as long to row up as to row down the river. Find the rate of the stream?

Answer»

12 kmph



Let man's RATE UPSTREAM be X kmph 

Then his rate of downstream = 3X kmph 

Rate still water = 1/2 (3X + X) = 2X 

2X = 24 

X = 12 

Rate of upstream = 12 

Rate of downstream = 36 

Rate of stream 1/2 ( 36 - 12) = 12 kmph

343.

A 220m long train passes a signal post in 12s. Find the speed of the train?

Answer»

 66 km/h



NA

344.

Two trains A and B travel from points X to Y and the ratio of the speeds of A to that of B is 2 : 7. Find the ratio of time taken by A and B to reach From X to Y.

Answer»

7 : 2



NA

345.

An aeroplane covers a certain distance of 420 Kmph in 6 hours. to cover the same distance in 4 2/3 hours, it Must travel at a speed of

Answer»

540 Kmph



NA

346.

A train 150 m long is running at 55 km/h. In what time will it pass a man runinng at 10km/h in the same direction in which the train is going?

Answer»

12 s



NA

347.

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

Answer»

800 km.



NA

348.

A thief steals at a car at 2.30 p.m. and drives it at 60 km/hr. The theft is discovered at 3 p.m. and the owner sets off in another car at 75 km/hr. When will he overtake the thief?

Answer»

5 p.m.



Suppose the THIEF is OVERTAKEN X hrs after 2.30 p.m.

Then, distance COVERED by the owner in (x - 1/2) hrs.

60x = 75(x - 1/2) => x = 5/2 hrs.

So, the thief is overtaken at 5 p.m.

349.

A thief is noticed by a policeman from a distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively.

Answer»

100 m



Relative speed of the thief and policeman = 11 - 10 = 1 KM/hr.

Distance covered in 6 MINUTES = 1/60 * 6 = 1/10 km = 100 m.

Distance between the thief and policeman = 200 - 100 = 100 m.

350.

The distance between two cities A and B is 330 km. A train starts from A at 8 a.m. and travels towards B at 60 km/hr. Another train starts from B at 9 a.m. and travels towards A at 75 km/hr. At what t

Answer»

11 a.m



Suppose they meet x HRS after 8 a.m. Then,

(Distance moved by first in x hrs) + [Distance moved by second in (x - 1) hrs] = 330

60x + 75(x - 1) = 330 => x = 3

So, they meet at (8 + 3) i.e., 11 a.m.