More Homework Help In Algebra

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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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