Trisha wants to start training for a half marathon. The trainer wants to time Trisha to see how fast she can run at the start of the training program. He times her on an 8 mile-course, which she completes in 1 hour. Part A: What is Trisha's unit rate in minutes per mile?
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Shatoria M. asked • 01/29/16
Denise has 4 hours to spend training for an upcoming race. She completes her training by running full speed the distance of the race and walking back the same d
Denise has 4 hours to spend training for an upcoming race. She completes her training by running full speed the distance of the race and walking back the same distance to cool down. If she runs at a speed of 7 mph and walks back at a speed of 3 mph, how long should she plan to spend walking back?
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Marlene S. answered • 01/29/16
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Hi Shatoria
To solve this problem, we need to recall the formula d = rd (distance = rates x time)
She runs at a speed of 7 mph and walks at a speed of 3 mph.
Her distance running is
d = 7tr
where tr is the time she spends running
Her distance walking is
d = 3tw
where tw is the time she spends walking
The distances are the same so
7tr = 3tw
We also know that the total time is 4 hours
tr + tw = 4
tr = 4-tw
Substitute this value of tr in the first equation
7tr = 3tw
7(4-tw) = 3tw
28-7tw = 3tw
28 = 10tw
2.8 = tw
Denise will spend 2.8 hours (2 hours, 48 minutes) walking back and 1.2 hours (1 hour, 12 minutes running.
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