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# Distance Problems Practice Problems (page 3)

based on 1 rating
By McGraw-Hill Professional
Updated on Sep 26, 2011

#### Practice

1. Terry, a marathon runner, ran from her house to the high school then back. The return trip took 5 minutes longer. If her speed was 10 mph to the high school and 9 mph to her house, how far is Terry’s house from the high school?
2. Because of heavy morning traffic, Toni spent 18 minutes more driving to work than driving home. If she averaged 30 mph on her drive to work and 45 mph on her drive home, how far is her home from her work?
3. Leo walked his grandson to school. If he averaged 3 mph on the way to school and 5 mph on his way home, and if it took 16 minutes longer to get to school, how far is it between his home and his grandson’s school?

#### Solutions

1. Let t represent the number of hours spent running from home to school. Then represents the number of hours spent running from school to home. The distance to school is given by d = 10 t , and the distance home is given by .

The distance between home and school is miles.

2. Let t represent the number of hours Toni spent driving to work. Then represents the number of hours driving home. The distance from home to work is given by d = 30 t , and the distance from work to home is given by .

The distance from Toni’s home and work is 30t = 30 = 27 miles.

3. Let t represent the number of hours Leo spent walking his grandson to school. Then represents the number of hours Leo spent walking home. The distance from home to school is given by d = 3 t , and the distance from school to home is given by .

The distance from home to school is .

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