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Richard and Ayanna live in the country and have a very long driveway. After a heavy snowfall, Richard could shovel out the driveway in 8 hours by himself. If the two of them work together they could finish the job in 3 hours. How long would it take Ayanna working alone to shovel the driveway?

 Dec 9, 2019

Best Answer 

 #1
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Richard rate = 1 driveway / 8 hours

Ayanna rate = 1 driveway / xhours

 

Their combined rate completes the job in 3 hours

 

3 = 1 driveway / (1driveway/8hours + 1 driveway/xhours)

 

3 = 1 /(1/8 + 1/x)

3/8 + 3/x  = 1

3/x = 5/8

3 / (5/8) = x

x = 24/5 = 4 4/5 hr for Ayanna 

 Dec 9, 2019
 #1
avatar+19820 
0
Best Answer

Richard rate = 1 driveway / 8 hours

Ayanna rate = 1 driveway / xhours

 

Their combined rate completes the job in 3 hours

 

3 = 1 driveway / (1driveway/8hours + 1 driveway/xhours)

 

3 = 1 /(1/8 + 1/x)

3/8 + 3/x  = 1

3/x = 5/8

3 / (5/8) = x

x = 24/5 = 4 4/5 hr for Ayanna 

ElectricPavlov Dec 9, 2019
 #2
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thank you.

 Dec 9, 2019

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