SOLUTION: 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 th

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 � 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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