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)   (Show Source): You can put this solution on YOUR website!

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.


__________________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





That is hours.
Answer by MathTherapy(10549)   (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  mile of the -mile trip

Time it took him to ride to point where he had the flat: , or  hour

Amount of miles left to travel: 2 ()

Reduced walking speed: 

Time it took him to complete the 2-mile trek: , or  hour

Total time it took him to get to school:  hr  +  hr, or  hour, or  minutes 

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