SOLUTION: "Pat leaves home and rides his bicycle out into the country for 2 hours. On this return trip along the same route, it takes him 0.5 of an hour longer. If his rate on the return tri

Question 741199: "Pat leaves home and rides his bicycle out into the country for 2 hours. On this return trip along the same route, it takes him 0.5 of an hour longer. If his rate on the return trip was 3 miles per hour slower than on the trip out into the country, find the total roundtrip distance."
Can I get help with solving this problem please?
thank you
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
Let d = the distance one way
Let s = the speed on the outbound trip
The time for the outbound trip = 2 h
Since distance = speed x time, we can write for the two trips
d = s*2 -> s = d/2
d = (s-3)(2+0.5) [3 mph slower and 0.5 h longer]
d = (d/2-3)(2.5)
Solve for d:
d = 1.25d - 7.5
0.25d = 7.5
d = 30 mi
Therefore the round trip distance is 60 mi
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