Time, Speed & Distance Level-2 Quiz-1

1. In a kilometre race, A beats B by 30 seconds. B beats C in the same race by 30 seconds. If A beats C by 400 m, find the time taken by A to run the race (in secs).

2. An escalator was moving up from floor X to floor Y. It had 120 steps. Anil took 24 seconds to walk up on it. If his speed doubled and that of the escalator tripled, he would have taken only ten seconds to walk up on it. Find the time he would take to go from floor Y to floor X by the escalator. (in seconds)

3. A and B are two points on a river. Two boats X and Y started simultaneously from A and B, respectively towards each other with equal speeds and the distance between them reduces by 32 km in 4 hours. Find the speed of each boat in still water. (in kmph)

4. A flight which leaves city P at 3:00 a.m. reaches city Q at 4:00 p.m. on the same day. Another flight which leaves city Q at 7:00 p.m. reaches city P at 3:00 p.m. on the next day. If both flights travel non-stop at 700 km/hr and all times mentioned are local times, find the distance between city P and city Q (in km).

5. P and Q are 2 stations. A single track runs between them. Train A leaves everyday from P at 6:00 a.m. and reaches Q. Another train B starts from Q as soon as A reaches Q. B reaches P at 7:00 a.m. The speed of B is four times that of A. One day, A started from P 10 minutes late as per the schedule. In order to maintain B’s right arrival time at P, both trains travel at an increased speed. If B had doubled its speed, find the ratio of the new speeds of A and B.

6. Manish and Sheetal start running simultaneously from P and Q, towards Q and P, respectively They meet each other after a certain time ‘t’. Thereafter, Manish and Sheetal take 16 seconds and 25 seconds to reach their respective destinations. If Manish’s speed was 12 m/s, find the distance between P and Q (in m).

7. A building had two floors. There were 90 steps from the first floor to the second floor. An escalator was moving up from the first floor to the second floor. Ram took nine seconds to walk from the first floor to the second floor on it. He took 45 seconds to return to the first floor on it. Find the time he would have taken to return if the escalator had been switched off. (in seconds)

8. Samuel takes 6 hours to row up the stream from A to B and returns to A in 3 hours. How much time does he take to row a distance AB in still water?

9. Three runners X, Y and Z run a race at uniform speeds. X beats Y by 12 m and beats Z by 24 m. Y beats Z by 15 m. Find the length of the race (in m).

10. A person cycled 18 km along a straight road in the direction of the wind blowing at a constant rate for 3 hours. Suddenly the direction of the wind reversed, he further travelled 18 km in 6 hours. How much time would he take to come back to the starting point, if the speed of the wind becomes negligible (in hrs)?