Question

In a race, A beats B by 15 metres and C by 29 metres. When B and C run over the course together, B wins by 15 metres. The length of the course is ____

Answer 1

srry 215 200 171

Answer 2

200 185 171

Answer 3

Let the length of the course be x metres.
When B runs x metres be gains 15 metres on C. Therefore B gains 1 metre for each x/15 metres that B runs.
When B has run x - 15 metres he is 14 metres ahead of C. Therefore we can write:
\[\frac{x-15}{\frac{x}{15}}=14\ .......(1)\]
Solving equation (1) gives x = 225 metres.

Answer 4

Therefore B gains 1 metre over C for each x/15 metres that B runs.*

Answer 5

great!:-)

Answer 6

You're welcome :)

Answer 7

confusing slightly

Answer 8

k got it!

Answer 9

Good on you!