Time and Distance

1.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 :

6km/5km/5.5.km/6.5km

2.Walking at the rate of 4 km an hour, a man covers a certain distance in 3 hours 45 minutes. If he covers the same distance on cycle, cycling at the rate of 16.5 km/hr, the time taken by him is

55.45 minutes/54.55 minutes/55.44 minutes/45.55 minutes

3.A train covers a distance of 10 km in 12 minutes. If its speed is decreased by 5 km/hr, the time taken by it to cover the same distance will be:

10 min/13 min 20 sec/13 min/11 min 20 sec

4.A bullock cart has to cover a distance of 120 km. in 15 hours. If it covers half of the journey in 3/5^th time, the speed to cover the remaining distance in the time left has to be

6.4km/hr//6.67km/hr//10km/hr//15km/hr

5.A man rides at th rate of 18 km/hr. but stops for 6 mins. To change horses at the end of every 7^th Km. The time that he will take to cover a distance of 90 km is

6hrs./6hrs.12min/6hrs.18min/6hrs.24mins

7.You arrive at your school 5 minutes late if you walk with a speed of 4 km/h, but you arrive 10 minutes before the scheduled time if you walk with a speed of 5 km/h. The distance of your school from your house (in Km)

4/5/10/2

8.A man travelled a distance of 80 km in 7 hrs partly on foot at the rate of 8 km per hour and partly on bicycle at 16km per hour. The distance travelled on the foot is

32km/48km/36km/44km

9.A car travels at a speed of 60 km/hr and covers a particular distance in one hour. How long will it take for another car to cover the same distance at 40 km/hr?

5/2 hrs./2 hrs,/3/2hrs./1hrs.

10.The length of a train and that of a platform are equal. If with a speed of 90 km/hr the train crosses the platform in one minute, then the length of the train (in metres) is

500/750/600/900/1500

11.A train travelling at a speed of 30 m/s crosses a platform, 600 metres long, in 30 seconds. The length (in metres) of train is

120/150/200/300

12.Ram starts his journey from Bombay to Pune and simultaneously Mohan starts from Pune to Bombay. After crossing each other they finish their remaining journey in 6 ¼ and 4 hours respectively. What is Mohan’s speed if Ram’s speed is 20 km per hr.?

28/24/25/30

13. A car driving in the morning fog passes a man walking at 4 km per hr. in the same direction. The man can see the car for 3 minutes and visibility is upto a distance of 130 metres. Find the speed of the car.

7.5 kmph/6.6 kmph/6 kmph/7 kmph

14. A train after travelling 100 kms from P meets with an accident and then proceeds at 3/4 th of its original speed and arrives  at the terminus Q 90 minutes late. Had the accident occurred 60 kms further on, it would have reached 15 minutes sooner. Find the original speed of the train and the distance PQ

65 kmph:480/75 kmph:450/80 kmph:460/85 kmph:460

15. If I walk at 5 km/hr, I miss a train by 7 minutes. If, however, I walk at 6 km/hr, I reach the station 5 minutes before the departure of the train. The distance (in Km) between my house and the station is

6/5/4/3

16.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

1:4/4:1/1:2/2:1

17.A person travels 600 km by train at 80km/hr, 800 ship at 40 km/hr  500km by aeroplane at 400km/hr and 100 km by car at 50 km/hr. What is the average speed for the entire distance?

65 5/123/60 /60 5/123/62

18.Two trains different length but with same speed pass a static pole in 4 sec. and 5 sec. respectively. In what time will they cross each other when they are moving in opposite direction.

4 sec/4.05 sec/4.5 sec/none

19 A train passes two persons who are walking in the direction opposite which the train is moving, at the rate of 5m/sec. and 10 m/sec. in 6 sec. and 5 sec. respectively. Find the length of the train.

150/200/175/none

20.A monkey tries to ascend a greased pole 14 metres high. He ascends 2 metres in first minutes an slip down a metre in the alternate minute. If he continues to ascend in this fashion how long does he take to reach the top?

23/24/25/none