Question

Two bicycles head toward each other from opposite ends of a freeway 364 miles long. If the speed of the first bicycle is 15 miles per hour and the speed of the second bicycle is 11 miles per hour, how long will it take before the bicycles pass each other?

hours

Answer 1

how many hours?

Explanation:

Answer 2

14 hours

Explanation:

Let x be the time, in hours, that it takes for the two bikes to meet. Let A and B be the two bicycles.

The distance travelled by each bike is given by:

Bike A: 15x

Bike B: 11x

At time x, when they meet, both bikes will have travelled a total of 364 miles:

15x + 11x = 364

26x = 364

x = 14 hours

After 14 hours of non-stop cycling, the two bikes will meet.

=====================

Check:

Total miles

A: 210

B: 154

364 total