50 vote
A 10 km race is organized at 800 m circular race course. P and Q are the contestants of this race. If the ratio of the speeds of P and Q is 5 : 4, how many times will the winner overtake the loser?
A 10 km race is organized at 800 m circular race course. P and Q are the contestants of this race. If the ratio of the speeds of P and Q is 5 : 4, how many times will the winner overtake the loser?
1). 4 times
2). 1 time
3). 2 times
4). 3 times
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2 answers
56 vote
Let the speed of P be 5 m/s and that of Q be 4 m/s. Since they are running in the same direction, we have
Relative speed = 5 – 4 = 1 m/s
Hence, time taken to meet for the first time = 800 / 1 = 800 s
Hence, P and Q meet every 800 seconds.
Total time taken by P in completing the race = 10000/5 = 2000 s
Hence, P and Q can meet only twice: at 800 s and other at 1600 s.0 vote
Option (3)