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Speed Word Problem solving










































Sophia runs twice as fast as Mia. If Mia runs 3 mph, how long will it take Sophia to run 6mph? 9mph?

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Apr 24, 2012
Speed Word Problem
by: Staff


Question:

Sophia runs twice as fast as Mia. If Mia runs 3 mph, how long will it take Sophia to run 6mph? 9mph?



Answer:


I think you really meant to phrase your question like this: Sophia runs twice as fast as Mia. If Mia runs 3 mph, how long will it take Sophia to run 6 miles? 9 miles?

If Mia runs 3 mph, then Sophia runs 6 mph.

distance = rate * time

time = distance/rate


how long will it take Sophia to run 6 miles?

time = distance / rate

mph = miles per hour = miles / hour = m/h

time = 6 m / (6 mph)

time = 6 m / (6 m/h)

time = (6 m) * [h / (6 m)]

time = (6 / 6) * (m / m) * h

The units which stand for miles (represented by m) cancel one another (m / m = 1).

time = (1) * (1) * h

>>> time = 1 hour


how long will it take Sophia to run 9 miles?

time = distance / rate

time = 9 m / (6 mph)

time = 9 m / (6 m/h)

time = (9 m) * [h / (6 m)]

time = (9 / 6) * (m / m) * h

time = (1.5) * (1) * h

time = 1.5 hours

>>> time = 1 ½ hours



Thanks for writing.

Staff
www.solving-math-problems.com



Oct 17, 2020
Solve the word problem.
by: Anonymous

Rob made a trip to the recycling plant and back. The trip there took five hours and the
trip back took four hours. He averaged 25 mph on the return trip. Find the average
speed of the trip there and the equation used.

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