Thread: Distance problem

A man bicycles 5.4 mph faster than he can walk. He bicycles a distance of 32.4 miles and then hikes back along the same route. If the entire trip takes 12.6 hours, how fast does he walk?

Equation: let x= walk rate


I think I set this equation up wrong...

Originally Posted by theloser

A man bicycles 5.4 mph faster than he can walk. He bicycles a distance of 32.4 miles and then hikes back along the same route. If the entire trip takes 12.6 hours, how fast does he walk?

Equation: let x= walk rate


I think I set this equation up wrong...

it's set up correctly.

Originally Posted by skeeter

it's set up correctly.

It ends up to be

I then multiply every by 100

Then I factor everything by

Then I can't factor the binomials... Must have done something wrong... help please. Thanks Thanks

Originally Posted by theloser

It ends up to be

I then multiply every by 100

Then I factor everything by

Then I can't factor the binomials... Must have done something wrong... help please. Thanks Thanks

what makes you think the quadratic should factor? sometimes they don't. nothing is wrong ... break out your calculator and use the quadratic formula.

You should have had



to start with.

This gives eventually