Question 989052: Jeff leaves home and rides his bicycle out into the country for 3 hours. On his return trip along the same route, it takes him three-quarters of an hour longer. If his rate on the return trip was 2 miles per hour slower than on the trip out into the country, find the total roundtrip distance.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620)   (Show Source):
You can put this solution on YOUR website! RT=D relates rate, time, distance for travel.
Going r 3 d
Return r-2 3+3/4 d
You want to solve for 2d, but you first need to solve for r. Start this as  .
Answer by MathTherapy(10552)  (Show Source):
You can put this solution on YOUR website!
Jeff leaves home and rides his bicycle out into the country for 3 hours. On his return trip along the same route, it takes him three-quarters of an hour longer. If his rate on the return trip was 2 miles per hour slower than on the trip out into the country, find the total roundtrip distance.
Let one-way distance be D
Then outbound speed =  , and return-trip speed = 
Since return trip took ¾ hour longer, then return trip took  , or  hours
Thus, it can be said that: 
12D = 15D - 90 -------- Multiplying by LCD, 12
12D - 15D = - 90
- 3D = - 90
D, or one-way distance =  , or 30 miles
Round-trip distance: 2(30), or  miles
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