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Johnny travels a total of one hour to and from school. On the way there he jogs at \(5\) miles per hour and on the

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by BTGmoderatorLU » Thu Jul 28, 2022 3:35 pm

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Source: Princeton Review

Johnny travels a total of one hour to and from school. On the way there he jogs at \(5\) miles per hour and on the return trip he gets picked up by the bus and returns home at \(20\) miles per hour. How far is it from the school?

A. \(2\) miles
B. \(4\) miles
C. \(4.8\) miles
D. \(8\) miles
E. \(10\) miles

The OA is B
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Source: — Problem Solving |

BTGmoderatorLU wrote:
Thu Jul 28, 2022 3:35 pm
Source: Princeton Review

Johnny travels a total of one hour to and from school. On the way there he jogs at \(5\) miles per hour and on the return trip he gets picked up by the bus and returns home at \(20\) miles per hour. How far is it from the school?

A. \(2\) miles
B. \(4\) miles
C. \(4.8\) miles
D. \(8\) miles
E. \(10\) miles

The OA is B
We can create the following equation since we know that time = distance/rate and since the total time is 1 hour. We can also let d = the distance from home to school.

d/5 + d/20 = 1

4d/20 + d/20 = 1

5d/20 = 1

5d = 20

d = 4

Answer: B

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