# 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?

### Comments for Speed Word Problem solving

 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.