SOLUTION: Cyclist bikes at a constant speed for 22 miles. He returns home at that speed but takes different route, return trip takes 1 hour longer and is 27 miles. whats his speed ?

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Question 813215: Cyclist bikes at a constant speed for 22 miles. He returns home at that speed but takes different route, return trip takes 1 hour longer and is 27 miles. whats his speed ?
Answer by josgarithmetic(39614) About Me  (Show Source):
You can put this solution on YOUR website!
Which Route__________speed___________time____________distance
First________________r_______________(___)___________22
Return_______________r_______________(___)___________27

Let t = time for first part of trip and so return part of trip will be t+1. These are in hours.

Which Route__________speed___________time____________distance
First________________r_______________(t)___________22
Return_______________r_______________(t+1)___________27

Each part of the trip will have its own equation using the two variables based on R*t=d for R rate, t time, d distance.

rt=22 and r%28t%2B1%29=27
Two equations and two unknown variables.
Solve for r and t. A good way to answer the specific question is first solve for t in one equation and substitute the expression into the other equation, and then solve just for the value of r.