Two cyclists start at the same time from towns A and B, which are 210 km apart, and travel towards each other. The cyclist from A rides at 28 km/h, and the cyclist from B rides at 32 km/h. Find the time (in hours) taken by the cyclist from B to reach town A after meeting.
Show answer & explanation
Correct answer: A
Explanation
Given:
Distance between A and B = 210 km
Speed of A = 28 km/h
Speed of B = 32 km/h
According to the formula:
Time to meet = Total distance / (Sum of their speeds)
Time to meet = 210 / (28 + 32)
= 210 / 60
= 3.5 hours
Distance covered by A in 3.5 hours = 28 × 3.5 = 98 km
Remaining distance (to A) = 210 − 98 = 112 km
Time = Distance / Speed = 98 / 32 = 3.06 hours