SOLUTION: smitty jogged to school at a rate of 4.25 mph. his father dropped off his bike and he rode bike home at a rate of 10.8 mph. the round trip took him 45 mins. calculate how far it is

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: smitty jogged to school at a rate of 4.25 mph. his father dropped off his bike and he rode bike home at a rate of 10.8 mph. the round trip took him 45 mins. calculate how far it is      Log On

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Question 1130822: smitty jogged to school at a rate of 4.25 mph. his father dropped off his bike and he rode bike home at a rate of 10.8 mph. the round trip took him 45 mins. calculate how far it is from the school to his house in miles.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
                  SPEED       TIME        DISTANCE

JOG               4.25        d/4.25        d

BIKE             10.8         d/10.8        d

TOTAL                        0.75


The sum of the times equation will give the distance each way.

d%2F4.25%2Bd%2F10.8=0.75
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d%281%2F4.25%2B1%2F10.8%29=0.75
d%28%2810.8%2B4.25%29%2F%284.25%2A10.8%29%29=0.75
highlight%28d=0.75%28%284.25%2A10.8%29%2F%2810.8%2B4.25%29%29%29

You have a few choices for how you want to manage the computations.



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Time for round trip was given as 45 minutes, which is three quarters of an hour, which is 0.75 hour; commonly known fraction and decimal.
Units best for this rates example are MILES, HOURS, and MILES-per-HOUR.