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Adam can shovel a driveway in two hours. Bev can shovel the same driveway in three hours. How long would it take them working together

User Shillem
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1 Answer

3 votes

Answer:

1.2 hours

Explanation:

Given the following :

Time taken by Adam to shovel driveway = 2 hours

Time taken by BEV to shovel highway = 3 hours

How long will it take them working together

Hence Adam's rate of shoveling per hour :

Reciprocal of time taken = 1/2 per hour

BEV's rate will also be ;

1/ 3 per hour

If both work together ; that is combining the rate :

1/2 + 1/3 = (3 + 2) = 5/6

Combined rate = 5/6

Total fraction of shoveled area = 1:

Time taken = area / rate

= 1 ÷ (5/6)

= 1 × (6 / 5)

= 6/5

= 1 1/5 hours = 1.2 hours

User Ldz
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4.9k points