Question 295053
If John went from his house to school at 3mph and back home at 5mph
 how many miles did he go if this took 1 hour.
:
Let d = the distance, house to school; it's also the return distance
:
Write a time equation: Time = dist/speed
:
{{{d/3}}} + {{{d/5}}} = 1
multiply by 15, results
5d + 3d = 15
;
8d = 15
d = {{{15/8}}}
d = 1.875 one way
therefore
2(1.875) = 3.75 mi total dist in 1 hr
:
:
Check solution by finding the times
1.875/3 = .625 hr
1.875/5 = .375 hr
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total time: 1 hr