In a 2 km linear race, if P completes the race in 200 second and Q in 220 seconds, then the distance by which P beats Q is:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 181 metres.
Length of the race = 2 km = 2000 m
Speed of P = 2000/200 = 10 m/s
Speed of Q = 2000/220 = (10/11) m/s
Time taken by P = 200 sec
Distance covered by Q in 200 seconds = (10/11) × 200 = (2000/11) meters
Distance by which P beats Q = Total race distance - Distance covered by Q
= 2000 - (2000/11)
= meters
Therefore, P beats Q by meters.