SOLUTION: Roger made the 375 mile trip in 10 hours less than it took judy. Because he went three times as her. How fast did each go?

Question 947415: Roger made the 375 mile trip in 10 hours less than it took judy. Because he went three times as her. How fast did each go?
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
= Judy's speed in miles per hour.
"He (Roger) went three times as fast as her (Judy)" translates as
= Roger's speed in miles per hour.
We calculate travel time as distance divided by speed, so
= travel time for Judy, in hours.
= travel time for Roger, in hours.
"Roger made the 375 mile trip in 10 hours less than it took Judy" translates as

and that is our equation.
Solving:

There are many ways to solve it. I will show the two I thought of first.

One way:
Multiplying both sides of the equal sign times we get

and

Another way:
---> (which is the first equation I wrote)
Using as a common denominator

Then, I simplify, dividing both sides by to get

and multiplying both sides times , I get

and

Any way you solve it, Judy was driving at miles per hour,
while Roger was driving at miles per hour.
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