Problema Solution
Joe has 2 hours to spend training for an upcoming race. She spends her time training by sprinting the distance of her race and walking back the same distance order to cool down. If she runs at speed of 8mph, and walks back a a speed of 2mph, how long should she plan to spend walking back?
Answer provided by our tutors
Let the walking back time be t hours
Then her running time = (2 - t) hours
Running distance = running speed * running time = 8 * (2 - t) = 16 - 8t
Walking distance = walking speed * walking time = 2 * t = 2t
Since these two distances are equal, we have
16 - 8t = 2t
10t = 16
t = 16/10 = 1.6 hours
Walking time should be 1.6 hours (96 minutes)
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