SOLUTION: Dave averaged 30 miles per hour on his bike trip to a friend's house. His return trip took an hour longer, as he averaged 20 miles per hour. What was his one-way distance to his

Question 190440: Dave averaged 30 miles per hour on his bike trip to a friend's house. His return trip took an hour longer, as he averaged 20 miles per hour. What was his one-way distance to his friends?
d = s * t
Answer by msaxby(1) (Show Source): You can put this solution on YOUR website!
Let t = time to the friends house.
Since d = s *t, 30*t = distance to the friend's house.
and 20*(t+1) = the distance back from the friend's house.
SO: 30*t = 20*(t+1)
30*t = 20*t + 20
10*t = 20
t = 2 (hours).
Since Dave averaged 30 miles per hour, it is 30*2 miles to his friend's house or 60 miles.
(Check: Averaging 20 mph would take 60 / 20 or 3 hours - that's 1 hour longer.)
RELATED QUESTIONS
Jermaine took a bus trip to visit his grandmother. His round trip travel time was 2 1/2... (answered by ankor@dixie-net.com)

It took John 12 hours riding his bike to make the round trip to his uncles, if he... (answered by Alan3354)

Mr grainier, a cyclist rode from his home to his office at an average speed of 18 miles... (answered by ikleyn)

Adam made a trip to see his college friend. The college is 295 miles from Adam's house. (answered by stanbon)

Blaise rode his bike to his friend Elroy's house, which was 15 miles away. After he had... (answered by ankor@dixie-net.com)

Blaise rode hi bike to him friend elroy's house, which was 15 miles away. After he had... (answered by ankor@dixie-net.com)

terrell drove to the mountains at an average of 60 miles per hour. his return trip, by... (answered by ankor@dixie-net.com)

On a 135-mile bicycle trip, John averaged 5 miles per hour faster for the first 60 miles... (answered by richwmiller,checkley77)

Jonathan went on a trip. He drove 12 hours a day. He averaged a speed of 60 miles an hour (answered by ikleyn)