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351.

A walks around a circular field at the rate of one round per hour while B runs around it at the rate of six rounds per hour. They start in the same direction from the same point at 7.30 a.m. They shal

Answer»

7.42 a.m.



Since A and B move in the same direction along the circle, so they will first meet each other when there is a difference of ONE round between the two.

Relative speed of A and B = 6 - 1 = 5 ROUNDS PER hour.

Time TAKEN to complete one round at this speed = 1/5 hr = 12 MIN.

352.

In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the fligh

Answer»

1 hour



600/X - 600/(x + 1/2) = 200

x(2X + 1) = 3 2X2 + x - 3 = 0 

(2x + 3)(x - 1) = 0 

x = 1 HR.

353.

Two trains each 250 m in length are running on the same parallel lines in opposite directions with the speed of 80 kmph and 70 kmph respectively. In what time will they cross each other completely?

Answer»

12 sec



D = 250 m + 250 m = 500 m

RS = 80 + 70 = 150 * 5/18 = 125/3

T = 500 * 3/125 = 12 sec

354.

A man leaves a point P at 6 a.m. and reaches the point Q at 10 a.m. another man leaves the point give at 8 a.m. and reaches the point P at 12 noon. At what time do they meet?

Answer»

9 a.m.



NA

355.

A thief goes away with a SANTRO car at a speed of 40 kmph. The theft has been discovered after half an hour and the owner sets off in a bike at 50 kmph when will the owner over take the thief from the

Answer»

2 HOURS



|-----------20--------------------|

50

356.

Two cars cover the same distance at the speed of 60 and 64 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car.

Answer»

960 KM



60(X + 1) = 64x

X = 15

60 * 16 = 960 km

357.

If I walk at 3 kmph, I miss the train by 2 min, if however, I walk at 4 kmph. I reach the station 2 min before the arrival of the train. How far do I walk to reach the station?

Answer»

4/5 KM



x/3 – x/4 = 4/60

x = 4/5 km

358.

If a car travels a distance of 300 km in 8 hours, partly at a speed of 40 kmh"' and partly at 30 kmh"1, what is the distance it travelled at the speed of 40 kmh"' ?

Answer»

240 km



Let the DISTANCE TRAVELLED at 40 kmh-1 = X km
∴ distance travelled at 30 kmh-1 = 300 - x
∴ 300/8 = 300/x/40 + (300-x)/30
∴ x/40 + (300-x)/30 = 8
= 3X + 1200-4x/120 = 8 = 1200 - x = 960

359.

Dheeraj travelled for 2 hours at an average speed of 48 kmph and travelled for another 2 hours at an average speed of 52 kmph . What is the average speed? (in kmph)

Answer»

50 km



As the duration of journey at different speeds is constant, the AVERAGE speed of the journey is average of the speeds. 
i.e. (48 + 52)/2 = 50 kmph.

360.

A travelled for 3 hours at a speed of 60 kmph, and then for 4 hours at a speed of 95 kmph. What is the average speed of the journey?

Answer»

80 kmph



NA

361.

P started running towards north at 6:00 am and Q started running towards north at 8:00 am. At what time do they meet, if their speeds are In the ratio 3 : 5?

Answer»

cannot be determined



If Q starts from the same point from which P STARTED, then the distance of SEPARATION between them is the distance travelled by P in 2 hours, (because 8:00 am - 6:00 am = 2 hours).
The information about the starting POINTS of P and Q is not available. Hence, the question cannot be ANSWERED.

362.

Ganesh and Suresh are running along a circular track of length 300 m. If the speed of Ganesh and Suresh are 6 m/sec and 12 m/sec respectively. How many rounds more than Ganesh will Suresh complete in

Answer»

72



Difference in SPEEDS of Suresh and Ganesh is = 12 - 6 = 6 m/sec.
The difference in NUMBER of rounds made = Number of rounds made at 6 m/sec.
i.e. (6 x 3600)/300 = 72.

363.

Two trains of length 120 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?

Answer»

20 sec



Relative speed = (42 + 30) * 5/18 = 4 * 5 = 20 mps.

Distance COVERED in PASSING each other = 120 + 280 = 400 m.

The time required = d/s = 400/20 = 20 sec.

364.

Two trains are moving in the same direction at 72 kmph and 36 kmph. The faster train crosses a man in the slower train in 27 seconds. Find the length of the faster train?

Answer»

270 m



Relative speed = (72 - 36) * 5/18 = 2 * 5 = 10 mps.

Distance covered in 27 sec = 27 * 10 = 270 m.

The LENGTH of the faster TRAIN = 270 m.

365.

A man goes from A to B at a speed of 20 kmph and comes back to A at a speed of 30 kmph. Find his average speed for the entire journey?

Answer»

24 KMPH



Distance from A and B be 'd'

Average Speed = total distance/total time

Average Speed = (2D)/[(d/20) + (d/30)]

= (2d)/[5d/60) => 24 kmph.

366.

Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. In how much time will the trains cross each other?

Answer»

80/7 sec



Relative speed = (54 + 72)* 5/18 = 7 * 5 = 35 mps.

The time REQUIRED = d/s = (100 + 100 + 200)/35

= 400/35 = 80/7 sec.

367.

Convert the 13/36 m/s into kilometers per hour?

Answer»

1.5



13/36 m/s = 13/36 * 18/5 = 13/10 = 1.3 KMPH.

368.

A plane takes 4 hours to go 3600 km with the wind. The return flight takes 6 hours. Assuming that the wind speed and direction have not changed, calculate the speed of the plane.

Answer»

750 km/hr



NA

369.

In a race of 1 km, A beats by 1 minute, while B beats C by 40 seconds. If A beats C by 500 metres, What is the speed of C?

Answer»

18 kmph



NA

370.

Lamp posts are placed 30 meters apart along a road. How long will a car traveling at 45 km/hr take to pass 6 lamp posts, not counting the first of them?

Answer»

12 seconds



NA

371.

A car travels at the speed of 85 km/hr and reaches its destination in 5hours. What is the distance covered by the car?

Answer»

425 km



NA

372.

Ram started from his house and walked 2 km North, then 3 km West and finally 6 km South. How far is he from his house?

Answer»

5 km



NA

373.

In covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less than Sameer. Abhay's speed is:

Answer»

5 kmph



NA

374.

Excluding stoppages, the speed of a train is 45 kmph and including stoppages it is 36 kmph. Of how many minutes does the train stop per hour?

Answer»

12 min



T = 9/45 * 60 = 12

375.

A, B and C can do a piece of work in 24, 30 and 40 days respectively. They start the work together but C leaves 4 days before the completion of the work. In how many days is the work done?

Answer»

11 DAYS



x/24 + x/30 + x/40 = 1

x = 11 days

376.

Two poles of height 6 metres and 11 metres stand on a plane ground. If the distance between their feet is 12 metres, then the distance between their tops is

Answer»

13 m



13 m

377.

A person completes ajourney in 15 hours, the first half at 12 kmh"1 and the second half at 18 kmh"1. What is the total distance ?

Answer»

216 km



Let the total distance be x - x/2 km
travelled at a SPEED 12 kmph-1 and another x/2 km
at a speed 18 kmh-1
Therefore, TIME TAKEN = x/2 x 12 + x/2 x 18 = 15
x/24 + x/36 = 15
Therefore, 5x/72 = 15
Therefore, x = 216 km.

378.

A man covers a certain distance on car. Had he driven 21 kmlr1 faster, he would have taken 7 hours less. If he had driven the car 13 kmlr1 slower, he would have taken 13 hours more. What is the distan

Answer»

510 km



Let the DISTANCE be x km and speed y kmh-1
or, x/y = x/(y + 21) + 7
or, x/y - x/(y + 21) = 7
or, x (1/y - 1/y + 21) = 7 ...... (I)
x/y = x/(y - 12) = - 13 ...........(II)
Dividing (I) HY (II),
 1/y - 1/(y + 21)
= -7/13 (1/y - 1/y - 13)
or, y + 21 - y/y(y + 21)
= -7/13 (y - 13 - y/y(y - 13))
or, 21/y(y + 21) = 7/y(y - 13)
∴ 3/y + 21 = 1/y - 13
or, 3y - 39 = y + 21
or, 2y = 60

379.

Walking 6/7th of his usual speed, a man is 12 minutes too late. The usual time taken by him to cover that distance is :

Answer»

1 hour 12 MIN.



New speed = 6/7 of USUAL speed.
New TIME = 7/6 of usual time.
(7/6 of usual time) - (usual time) = 1/5 hour.
Therefore, 1/6 of usual time = 1/5 hour
Usual time = 6/5 HOURS = 1 hour 12 min.

380.

A train 150 m long is running with a speed of 54 km per hour. In what time will it pass a telegraph post?

Answer»

10 s



NA

381.

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

Answer»

5PM



Distance TRAVEL by thief in 1/2 hours = 60 * 1/2 = 30km
Relative speed of owner = 75 - 60 = 15km/hr
 Time REQUIRED = 30/15 = 2hours
Starting counting 2hours from 3pm, thief will be caught at 5pm

382.

A boy goes to school with a speed of 3 km/hr and returns to the village with a speed of 2km/hr. if he takes 5 hours in all, the distance between the village and the school is:

Answer»

6km



NA

383.

A 180 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train?

Answer»

108 KMPH



S = 180/6 * 18/5 = 108 kmph

384.

If the speed of a swimmer in still water is 9 km/h. Find the downstream speed of the swimmer,when the river is flowing with a speed of 6 km/h?

Answer»

15 km/h



NA

385.

Train P crosses a pole in 30 seconds and train Q crosses the same pole in one minute and 15 seconds. The length of train P is three-fourths the length of train Q. What is the ratio of the speed of tra

Answer»

15 : 8



Given that train P crosses a pole in 30 SECONDS and train Q crosses the same pole in one minute and 15 seconds.

Let the LENGTH of train P be LP and that of train Q be LQ

given that LP = 3/4 LQ 

As the train P and Q crosses the pole in 30 seconds and 75 seconds respectively, 

=> Speed of train P = VP = LP/30 

Speed of train Q = VQ = LQ/75

 LP = 3/4 LQ 

=> VP = 3/4 LQ/(30) = LQ/40 

RATIO of their speeds = VP : VQ 

= LQ/40 : LQ/75 => 1/40 : 1/75 = 15 : 8

386.

The speed of a car increase by 1 kms after every one hour. If the distance travelled in the first one hour was 35 kms, what was the total distance travelled in 12 hours?

Answer»

552 km



Total distance travelled in 12 HOURS = (35+37+39+ ……….upto 12 TERMS).
This is an A.P. with FIRST term , a = 35 , number of terms, n = 12, common difference, d = 2.
Required distance = n/2[2a + (n-1)d] = 12/2[2x35 + (12-1)2] = 6[70 + 22] = 552 km.

387.

A truck covers a certain distance in 12h at the speed of 70km/h. What is the average speed of a car which travels a distance of 120 km more than the truck in the same time?

Answer»

 80 km/h



NA

388.

A train crosed a platform in 43 seconds. The length of the speed of the train ?

Answer»

Cann'tbe determined



When a train crosses a PLATFORM the distance covered = SUM of length of trainand platform.
Speed of train= 170 + length of platform /43
The length of platform is not known.
Hence, we cannot FIND the answer.

389.

John started from A to B and Vinod from B to A. If the distance betweeen A and B is 125 km and they meet at 75 km from A, what is the ratio of John's speed to that of Vinod's speed?

Answer»

3 : 2



NA

390.

A man in a train notices that he can count 21 telephone posts in one minute. If they are known to be 50 metres apart, at what speed is the train travelling?

Answer»

60 km/hr



The man in the train notices that he can count 21 telephone posts in one MINUTE.
Number of gaps between 21 posts are 20 and TWO posts are 50 metres apart.
It means 20 x 50 meters are covered in 1 minute.
Distance = 20×50 meter = (20×50)/1000 km = 1 km
Time = 1 minute = 1/60hour
Speed = Distance/Time=1(1/60) = 60 km/hr

391.

A train 400m long can cross an electric pole in 20sec, then find the speed of the train?

Answer»

72 Kmph



NA

392.

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»

7.5 km.



NA

393.

Two towns P & Q are 275 km apart. A motorcycle rider starts from P towards Q at 8 a.m. at the speed of 25 km/hr. Another rider starts from Q towards P at 9 a.m. at the speed of 20 km/hr. Find at what

Answer»

2.30 p.m.



NA

394.

If the total distance of a journey is 120 km .If one goes by 60 kmph and comes back at 40kmph what is the average speed during the journey?

Answer»

48 KMPH



48 kmph

395.

If 13 men can complete a piece of work in 36 days, then in how many days will 18 men complete the same work?

Answer»

26 DAYS



26 days

396.

By how much per cent must a motorist increase his speed in order to reduce by 20%, the time taken to cover a certain distance?

Answer»

25



25

397.

A man can row 12 km/h in still water. If the river is running at 3 km/h, it takes 6 hours more upstream than to go downstream for the same distance. How far is the place ?

Answer»

135 KM



Let the distance of the place be x km. 
∴ x/12 - 3 - x/12 + 3 = 6
or x/9 - x/15 = 6

398.

The speed of a truck is 1/3rd the speed of a train. The train covers 1230kms in 5 hours. What is the speed of the truck ?

Answer»

82 kmph



Speed of train = Distance Covered/Time taken
= 1230/5
= 246 kmph
∴ Speed to TRUCK = 1/3 X 246= 82 kmph