A bike is chasing a car, which is 12 km ahead of it. The speeds of the bike and the car are 96 km/hr and 60 km/hr, respectively. If the bike catches the car in 'a' minutes, then find the distance covered by the bike in (a - 16) hours.
Show answer & explanation
Correct answer: B
Explanation
Given:
Speed of the bike = 96 km/h
Speed of the car = 60 km/h
Initial distance = 12 km
Relative speed = 96 − 60 = 36 km/h
Time to catch the car = 12 / 36 = 1/3 hour = 20 minutes
Hence a = 20
(a − 16) hours
= 20 − 16 = 4 hours
Distance covered by the bike = 96 × 4 = 384 km