SOLUTION: Hello i have a question A bicyclist rode into the country for 5/h in returning her speed was 5 mi/h faster and the trip took 4/h. What was her speed each way? Thank you so mu

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Question 8070: Hello i have a question
A bicyclist rode into the country for 5/h in returning her speed was 5 mi/h faster and the trip took 4/h. What was her speed each way?
Thank you so much for your help a mom
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
You can use the distance formula: d = rt (distance = rate X time)
For the outbound trip:
d1 = (r1)(t1)
d1 = (r1)(5 hrs)
For the return trip:
d2 = (r2)(t2)
d2 = (r2)(4 hrs)
But, d1 = d2 (Same distance outbound as return)
And, r2 = r1+5 (Return speed was 5 mph more than the outbound speed)
So we can write: d1 = d2 or;
(r1)(5) = (r1+5)(4) Simplify and solve for r1.
5(r1) = 4(r1) + 20
r1 = 20 mph Outbound speed.
r2 = r1+5 mph = (20+5) mph = 25 mph Return speed.