Question 519427
Justin drove to his parents 175 miles away.
 On his way there his speed averaged 24 times faster than on his way back.
 He drove a total of 5 hours.
 What was his speed on the way there and on the way back?
:
Let s = his speed back
then
24s = his speed there
:
Write time equation: time = dist/speed
:
There time + return time = 5 hrs
{{{175/(24s)}}} +  {{{175/s}}} = 5 
Multiply by 24s, results
175 + 24(175) = 24s(5)
175 + 4200 = 120s
4375 = 120s
s = {{{4375/120}}}
s = 36.46 mph on the way back
then
24(36.46) = 875 mph on the way there, must have used an F-16 Jet