Problema Solution
Dana has 2 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 8 mph and walks back at a speed of 2 mph, how long should she plan to spend walking back
Answer provided by our tutors
let 'x' represent the amount of time in hours spent running, then '2-x' represents the time in hours spent walking
distance = speed * time
she is running and walking the same distance, so we set their speed*time expressions equal to each other:
8x=2(2-x)
8x = 4-2x
10x=4
x=4/10
2-(4/10) = 16/10
16/10 * 60 = 96 minutes = 1 hour and 36 minutes
she should plan on spending 1 hour and 36 minutes walking back