Problema Solution

Whitney left school and drove 7 miles to meet her mother at a restaurant. Her mother left at the same time and drove 8 miles, traveling 5mi/h than her daughter. If the two arrived at the same time, what was Whitney's speed?

Answer provided by our tutors

let


w = the speed of Whitney

m = the speed of her mother


her mother is traveling with 5 mi/h more then Whitney


m = w + 5


since they travel the same time we have


7/w = 8/m cross multiply


7m = 8w


plug m = w + 5 into the last equation


7(w + 5) = 8w


by solving we find


w = 35 mi/h


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Whitney's speed is 35 mi/h.