Question 237843: Nicole jogged for a distance and then turned around and walked back to her starting point. While jogging she averaged 7.2 miles per hour, and while walking she averaged 2.4 miles per hour. If the total time spent jogging and walking was 4 hours, find (a) how long she jogged; (b) the total distance she traveled.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Nicole jogged for a distance and then turned around and walked back to her starting point.
While jogging she averaged 7.2 miles per hour, and
while walking she averaged 2.4 miles per hour.
If the total time spent jogging and walking was 4 hours, find
(a) how long she jogged;
(b) the total distance she traveled.
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Jogging DATA:
rate = 7.2 mph ; distance = x miles ; time = d/r = x/7.2 hrs
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Walking DATA:
rate = 2.4 mph ; distance = x miles ; time = d/r = x/2.4 hrs
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Equation:
time + time = 4 hrs
x/7.2 + x/2.4 = 4 hrs.
2.4x + 7.2x = 7.2*2.4*4
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9.6x = 69.12
x = 7.2 miles
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Jog time = x/7.2 = 7.2/7.2 = 1 hr
Total distance traveled = 2x = 2*7.2 = 14.4 miles
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Cheers,
Stan H.
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