Algebra word problem

Algebra
Tutor: None Selected Time limit: 1 Day

a 150-lb person who runs at 8 mph for 1 hr burns about 840 calories. The same person, walking at 4 mph for 90 min, burns about 240 calories. Suppose a 150- lb  person runs at 8 mph for 75 min. How far would the person have to walk at 4 mph in order to burn the same number of calories as burned when running? 

Jun 13th, 2015

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

lets get the time have to work as X

then

8 mph/1hr  burns 840 cal

so 8 mph/75 min burns=840/60 *75

=1050 cal

4mph/90 min burns =240 cal

so

240*4/90*x=1050

x=1050*90/240*4


x=98.44 min

so the time have to walk to burn the same number of calories =98.44 min

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 13th, 2015

first you have to find the amount of burn calories when 150- lb  person runs at 8 mph for 75 min.

it should be equal to when he walk @ 4mph for  98.44 min


so the distance we can find as 

s=ut

s=4*(98.44/60)

s=6.56 miles


so the distance have to walk=6.56 miles

Jun 13th, 2015

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