SOLUTION: Rob's tractor is just as fast as Lucy's. It takes Rob 1 hour(s) more than it takes Lucy to drive to town. If Rob is 56 miles from town and Lucy is 42 miles from town, how long does

Click here to see ALL problems on Equations

Question 617273: Rob's tractor is just as fast as Lucy's. It takes Rob 1 hour(s) more than it takes Lucy to drive to town. If Rob is 56 miles from town and Lucy is 42 miles from town, how long does it take Lucy to drive to town?
How long does it tazke Lucy to drive to town? __ hours.
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
Rob's tractor is just as fast as Lucy's. It takes Rob 1 hour(s) more than it takes Lucy to drive to town. If Rob is 56 miles from town and Lucy is 42 miles from town, how long does it take Lucy to drive to town?
How long does it tazke Lucy to drive to town? __ hours.
-----------------------------
Rob DATA:
distance = 56 miles ; time = x+1 hrs ; rate = 56/(x+1) mph.
----------------------
Lucy DATA:
distance = 42 miles ; time = x hrs ; rate = 42/x mph
-----
Equation:
rate = rate
56/(x+1) = 42/x
-----
56x = 42x + 42
14x = 42
x = 3 hrs (Lucy's time)
============================
Cheers,
Stan H.
=================