SOLUTION: You commute to work a distance of 40 miles and return on the same route at the end of the day. your average rate on the return trip is 30 miles per hour faster than your average ra

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Question 337431: You commute to work a distance of 40 miles and return on the same route at the end of the day. your average rate on the return trip is 30 miles per hour faster than your average rate on the outgoing trip. write the total time,T, in hours, devoted to your outgoing and return trips as a function of your rate on the outgoing trip, X.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!

Rate*Time=Distance
.
.
.
R1%2AT1=D
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.
.
R2%2AT2=D
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.
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R2=30%2BR1
R1=R2-30
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T1=D%2FR1
T2=D%2FR2
T=T1%2BT2=D%2FR1%2BD%2FR2=D%2F%28R2-30%29%2BD%2FR2=D%281%2F%28R2-30%29%2B1%2FR2%29
R2=X
highlight%28T=D%281%2F%28X-30%29%2B1%2FX%29%29