SOLUTION: Science and medicine. A bicyclist rode into the country for 5 h. In returning, her speed was 5 mi/h faster and the trip took 4 h. What was her speed each way?

Question 94898: Science and medicine. A bicyclist rode into the country for 5 h. In returning, her
speed was 5 mi/h faster and the trip took 4 h. What was her speed each way?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A bicyclist rode into the country for 5 h. In returning, her
speed was 5 mi/h faster and the trip took 4 h. What was her speed each way?
-------------------
Into the country DATA:
Time = 5 hrs. ; Rate = x mph ; Distance = 5x miles
----------------------
Return trip DATA:
Time = 4 hrs. ; Rate = (x+5) mph ; Distance = 4(x+5) miles
-----------------------
EQUATION:
distance to = distance back
5x = 4(x+5)
5x = 4x+20
x = 20 mph (speed into the country)
x+5 = 25 mph ( speed on return trip)
=================
Cheers,
Stan H.
RELATED QUESTIONS
Science and medicine. A bicyclist rode into the country for 5 h. In returning, her speed (answered by funmath)

Science and medicine. A bicyclist rode into the country for 5 h. In returning, her speed (answered by ankor@dixie-net.com)

54. Science and medicine. A bicyclist rode into the country for 5 h. In returning, her... (answered by ankor@dixie-net.com)

A bicyclist rode into the country for 5 h. In returning , her speed was 5 mi/h faster and (answered by scianci)

A bicyclist rode into the country for 5h. In returning, her speed was 5 mi/h faster and... (answered by stanbon)

This is the question: Science and medicine. A bicyclist rode into the country for 5 h.... (answered by checkley71)

Solve the following word problem. Be sure to show the equation you use for the solution. (answered by Earlsdon)

Solve the following word problems. Be sure to show the equation you use for the... (answered by ptaylor)

A bicyclist rode into the country for 5 h. In returning, her speed was 5 mi/h faster and (answered by ankor@dixie-net.com)