Time, Speed & Distance Level-2 Quiz-3

1. If A travels at 50 kmph, he reaches his destination at 4 p.m. and if he increases his speed to 60 kmph, he reaches one hour earlier. Find the distance he has to travel to reach his destination.

2. A person covers a total distance x in the following manner. He covers the first one-third of the distance at 50 kmph, 40% of the remaining at 40 kmph and the remaining distance at 60 kmph. If he covers a total distance of 260 km, fi nd his average speed over the entire journey.

3. In a kilometer race, P beats Q by 1 minute. Q beats R by 30 seconds. If P beats R by 200 m, find the time R takes to run the race (in seconds).

4. Lucky is a thief. He steals a TV from the house of Mr. Batra and escapes on his Lambretta at 6:00 a.m. at a speed of 40 kmph. At 8:00 a.m., Mr. Batra realizes that there had been a burglary and immediately starts chasing Lucky on his Luna at a speed of 60 kmph. At what time will Mr. Batra catch up with Lucky?

5. In previous question, What is the distance covered by Lucky before he was caught? (in km)

6. A, B and C run a race from P to Q. C starts first, five seconds after C, A starts and five seconds after A, B starts. All the three reach a point R between P and Q simultaneously. If B reaches Q 4 seconds before C, how much more time does A take than B to run from P to Q?

7. Shiv starts from P towards Q at a speed of 72 km/hr and decreases his speed by 12 km/hr after every 6 km. If he takes 36 minutes to travel from P to Q, then what is the distance PQ (in km)?

8. Ravi and Vikram ran a 9 km race on a circular track of length 900 m. They started running simultaneously from the same point on the track. They completed one round in 9 seconds and 15 seconds, respectively. After what time from the start will the faster person meet the slower person for the last time (in seconds)?

9. A race track is 18 km uphill and 18 km downhill. A and B participate in a race in this track. A cycles uphill at 9 kmph and downhill at 15 kmph. B cycles uphill as well as downhill at 12 kmph. B wins the race, and by what distance (in km), if both start the race simultaneously from the bottom of the hill?

10. One day, Amar walked along a circular track for 6 hours. He then ran along the track for the time that he would take to walk one round. He covered a total of 18 km. The next day, Amar walked along the same track for 4 hours. He then cycled around the track for the time that he would take to walk one round. He covered a total of 27 km. The length of the track is 3 km. If the speeds at which he ran and cycled were 4.5 km/hr and 10.5 km/hr, respectively, then find his walking speed.