Question

Together, Marie and Ray can assemble an entire Toyota Supra in 7 weeks. If 1 pointRay assembles an entire Supra in 17 weeks, how long does it take Marie toassemble one by herself? *10.3 weeks12.6 weeks11.9 weeks9.8 weeks

Answer 1

Explanation:

The together rate is the sum of all the separated rates.

Together, Marie and Ray can assemble an entire Toyota Supra in 7 weeks.

This means that the together rate is 1/7.

Ray assembles an entire Supra in 17 weeks

Ray's rate is 1/17.

How long does it take Marie to assemble one by herself?

This is 1/x.

We want to find x.

So

`(1)/(7)=(1)/(17)+(1)/(x)`
`(1)/(7)=(x+17)/(17x)`

Applying cross multiplication

17x = 7(x + 17)