# Two bicyclists word problem [closed]

A bicyclist started on his trip from city A to city B. In 1 hour and 36 minutes, a biker also left A and headed towards B, and he arrived there at the same time as the bicyclist. Find the speed of the bicyclist if it is less than the speed of the biker by 32 km/hour, and the distance between the two cities is 52 km.

I need help on what this means. thanks!

## closed as off-topic by user228113, hardmath, user91500, Lee Mosher, user296602 Jan 29 '16 at 5:22

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• The title seems to be about "t[w]o bicyclists", but understanding the word problem may hinge on distinguishing the bicyclist and the biker (presumably someone riding a motor bike, and hence travelling at a faster speed). – hardmath Jan 29 '16 at 1:06

You are expected to write a pair of simultaneous equations. Let $a$ be the speed of A in km/hour and $b$ be the speed of B. How long does it take each to ride $52$ km? You are given the difference in speeds and the difference in times. Each one becomes an equation, giving two equations in two unknowns.