SOLUTION: Lou can walk the 2 1/2 miles to school at the rate of 6 mph, or ride his bike at 12 mph. One day he begins riding, but after 1/5 of the way he gets a flat and has to walk his bike

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Question 981488: Lou can walk the 2 1/2 miles to school at the rate of 6 mph, or ride his bike at 12 mph. One day he begins riding, but after 1/5 of the way he gets a flat and has to walk his bike the rest of the way. This slows his walking rate by one-third. How many minutes did it take Lou to get to school that day?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39613) About Me  (Show Source):
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t, total time for trip to school, HOURS

__________________rate_____________time_________________distance
___riding_________12_______________(___)_________________2.5/5
___slow walk______(1/3)6___________(___)_________________(4/5)(2.5)
Total_______________________________t______________________2.5

Find the missing time quantities according to the uniform travel rates rule, RT=D relating rate, time, distance.
T=D%2FR

__________________rate_____________time_________________distance
___riding_________12_______________ 0.5/12________________2.5/5=0.5
___slow walk______(1/3)6=2___________2/2=1_________________(4/5)(2.5)=2
Total_______________________________t______________________2.5

t=0.5%2F12%2B1
t=%280.5%2B12%29%2F12
t=12.5%2F12
t=1.046666666
That is hours.
t%2A60=1.04666666%2A60=highlight%2862.5%2Aminutes%29

Answer by MathTherapy(10549) About Me  (Show Source):
You can put this solution on YOUR website!

Lou can walk the 2 1/2 miles to school at the rate of 6 mph, or ride his bike at 12 mph. One day he begins riding, but after 1/5 of the way he gets a flat and has to walk his bike the rest of the way. This slows his walking rate by one-third. How many minutes did it take Lou to get to school that day?
By the time he had the flat, he'd traveled 1%2F2 mile of the 2%261%2F2-mile trip

Time it took him to ride to point where he had the flat: %281%2F2%29%2F12, or 1%2F24 hour

Amount of miles left to travel: 2 (2%261%2F2+-+1%2F2)

Reduced walking speed: 4_mph

Time it took him to complete the 2-mile trek: 2%2F4, or 1%2F2 hour

Total time it took him to get to school: 1%2F24 hr  + 1%2F2 hr, or 13%2F24 hour, or highlight_green%2832.5%29 minutes