Algebra word problem

label Algebra
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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

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

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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Jun 13th, 2015
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Jun 13th, 2015
Oct 22nd, 2017
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