SOLUTION: Maria went jogging to the store, going she jogged 10pmh and coming back on the same route, she traveled 6mph. If the total trip took 1 hour and 36 minutes, how far did she jog?

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Maria went jogging to the store, going she jogged 10pmh and coming back on the same route, she traveled 6mph. If the total trip took 1 hour and 36 minutes, how far did she jog?      Log On

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Question 279736: Maria went jogging to the store, going she jogged 10pmh and coming back on the same route, she traveled 6mph. If the total trip took 1 hour and 36 minutes, how far did she jog?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Rate x Time=Distance
R1%2AT1=D1
R2%2AT2=D2
Watch the units. Convert time to minutes.
R1=10
R2=6
T1%2BT2=96
Since
D1=D2
then
R1%2AT1=R2%2AT2
10T1=6T2
T1=%283%2F5%29T2
%283%2F5%29T2%2BT2=96
%288%2F5%29T2=96
T2=96%285%2F8%29
T2=60
T1%2BT2=96
T1%2B60=96
T1=36
To calculate the distance, convert time back to hours since rate is mile/hour.
T1=36%2F60=6%2F10=3%2F5
D1=R1%2AT1=10%283%2F5%29=6
6 miles