Sisters Helen and Anne live 332miles apart. For Thanksgiving, they met at their other sister’s house partway between their homes. Helen drove 3.2hours and Anne drove 2.8hours. Helen’s average speed was four miles per hour faster than Anne’s. Find Helen’s average speed and Anne’s average speed.

Short Answer

Expert verified

The average speed of Anne is 53.2miles/hrand the average speed of Helen is57.2miles/hr.

Step by step solution

01

Step 1. Given Information

The total distance =332miles.

Time taken by Helen=3.2hours.

Time taken by Anne=2.8hours.

02

Step 2. Assuming values.

Let the speed of Annie be xmiles/hr.

Then the speed of Helen is (x+4)miles/hr.

We know, Distance=Speed×Time.

Distance traveled by Annie=2.8xmiles.

Distance traveled by Helen=3.2(x+4)miles.

03

Step 3. Calculating the values.

Therefore,

2.8x+3.2(x+4)=3322.8x+3.2x+12.8=3326x=319.2x=53.2

The average speed of Anne is 53.2miles/hr.

x+4=53.2+4=57.2

The average speed of Helen is57.2miles/hr.

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