Question

Golving Linear Equation Application Problems

Content attribution


Use a Formula to Solve a Real World Application


Question


On Saturday morning, it took Jennifer 3.6 hours to drive to her mother's house for the weekend. On Sunday evening, due to


heavy traffic, it took Jennifer 4 hours to return home. Her speed was 5 mi/hr slower on Sunday than on Saturday. What was


her speed on Sunday? Do not include units in your answer.


Provide your answer below:


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Answer 1

Speed of Jennifer on Sunday
`=45` mi/hr

Explanation:

Let speed of Jennifer on Saturday be x mi/hr

On Saturday morning, it took Jennifer 3.6 hours to drive to her mother's house for the weekend.

Distance travelled by Jennifer on Saturday = Speed × Time
`=3.6x` miles

Speed of Jennifer on Sunday =
`(x-5)` mi/hr

On Sunday evening, due to heavy traffic, it took Jennifer 4 hours to return home.

Distance travelled by Jennifer on Sunday = Speed × Time
`=4(x-5)` miles

As distance is obviously same on both Saturday and Sunday,

`3.6x=4(x-5)\\3.6x=4x-20\\20=4x-3.6x\\20=0.4x\\x=(20)/(0.4)\\ x=50`

Therefore,

Speed of Jennifer on Sunday =
`(50-5)=45` mi/hr