More Homework Help In Algebra

Algebra
Tutor: None Selected Time limit: 1 Day

Mr. Pillot always rides his bicycle to work, and he begins his ride at the same time every day. If he averages 10 miles per hour, he arrives at work 2 minutes late, but, if he averages 15 miles per hour, he arrives 1 minute early. How many miles does Mr. Pillot ride to work? Express your answer as a decimal to the nearest tenth.

Aug 6th, 2015

Thank you for the opportunity to help you with your question!

let the time he should take to arrive on time be t minutes

time taken when he travels at 10miles/hour = t+2min

time taken when he travels at 15 miles/hour = t -1min

time= distance/ speed

D/10miles/hour = t+2

t =D/10miles/hour -2min

D/15 miles/hour = t -1min

t = D/15 miles/hour + 1min

D/10miles/hour -2min =D/15 miles/hour + 1min

D/10miles/hour -D/15 miles/hour=  1min + 2min

3D+ 2D= 3/60hr * 30 miles/hr

5D =1.5 miles

Distance= 0.3 miles


Please let me know if you need any clarification. I'm always happy to answer your questions.
Aug 6th, 2015

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