SOLUTION: A man travels from town x to town y at an average of 60 mph and returns at an average rate of 50 mph. He takes 1/2 hour longer than he would take if he made the round trip at an av

Algebra.Com
Question 620921: A man travels from town x to town y at an average of 60 mph and returns at an average rate of 50 mph. He takes 1/2 hour longer than he would take if he made the round trip at an average of 55 mph. What is the distance from town x to town y?
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


Let be the distance between the two towns. At 50 mph, the time to travel miles is , at 60 mph, the time to travel miles is , and at 55 mph, the time to travel miles (remember, round trip at 55), is

The times differ by a half hour with the sum of the differing speeds taking longer, so:



Solve for

John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism


RELATED QUESTIONS

A man travels from Town X to Town Y at an average rate of 60 mph and returns at an... (answered by stanbon)
A man travels from Town X to Town Y at an average rate of 50 mph and returns at an... (answered by ankor@dixie-net.com)
A man travels from Town X to Town Y at an average rate of 50 mph and returns at an... (answered by richwmiller,Alan3354)
A man travels for Town X to Town Y at an average rate of 50 mph and returns at an average (answered by checkley75)
A man travels from Town x to town y at an average rate of 50mph and returns at an average (answered by ankor@dixie-net.com)
This problem has given me alot of trouble. A man travels from Town X to Town Y at... (answered by wuwei96815)
A person travels 136 miles from one town to a city at an average speed of 77 mph and then (answered by Alan3354)
A man travels from Town A to Town B at an average speed of 4 km and from Town B to Town A (answered by Alan3354,greenestamps)
town a and town b are exactly 50 miles apart.if u travle at an average of 60 mph how long (answered by solver91311)