SOLUTION: Evan went to the coffee shop traveling 10 mph and returned home traveling 12 mph. If the total trip took 11 hours, how long did Evan travel at each speed?

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Question 1129137: Evan went to the coffee shop traveling 10 mph and returned home traveling 12 mph. If the total trip took 11 hours, how long did Evan travel at each speed?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
               SPEED        TIME       DISTANCE

TO SHOP         10           d/10         d

RETURN          12           d/12         d

Total                        11

d%2F10%2Bd%2F12=11
-
12d%2B10d=120%2A11
22d=120%2A11
d=%282%2A60%2A11%29%2F%282%2A11%29
highlight%28d=60%29


Amounts of Time:
----
d%2F10=60%2F10=highlight%286%29-----hours going to
---
d%2F12=60%2F12=highlight%285%29------hours back to home

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

Evan went to the coffee shop traveling 10 mph and returned home traveling 12 mph. If the total trip took 11 hours, how long did Evan travel at each speed?
With the time spent on the outbound leg/slower speed being T, the equation you need is one of DISTANCE, and is: 10T = 12(11 - T)

Correct answers: