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Quadratic Equations in Distance Problems Help (page 2)

based on 3 ratings
By — McGraw-Hill Professional
Updated on Nov 4, 2013

Round Trips with Different Average Speeds

In the following problems people are making a round trip. The average speed in each direction will be different and the total trip time will be given. The equation to solve is

Time to destination + Time on return trip = Total trip time.

To get the time to and from the destination, use D = RT and solve for T . The equation to solve becomes

Distance Problems

Example

A jogger jogged seven miles to a park then jogged home. He jogged 1 mph faster to the park than he jogged on the way home. The round trip took 2 hours 34 minutes. How fast did he jog to the park?

Let r represent the jogger’s average speed on the way home. He jogged 1 mph faster to the park, so r + 1 represents his average speed to the park. The distance to the park is 7 miles, so D = 7.

Time to the park + Time home = 2 hours 34 minutes

The time to the park is represented by Distance Problems Example . The time home is represented by Distance Problems Example . The round trip is 2 hours 34 minutes Distance Problems Example hours. The equation to solve becomes

Distance Problems Example

The LCD is 30 r ( r + 1).

Distance Problems Example

The jogger’s average speed to the park was 5 + 1 = 6 mph.

Find practice problems and solutions at Quadratic Equations in Distance Problems Practice Problems - Set 3.

More practice problems for this concept can be found at: Algebra Quadratic Applications Practice Test.

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