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Sam can paint a house in 8 hours. Joe can paint the same house in 4 hours. How long does it take them to paint the house together? Round to 1 decimal place.

User AndyL
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Answer: it takes themApproximately 2.7 hours to paint the house together

Explanation:

Sam can paint a house in 8 hours. This means that sam's unit rate of working is 1/8

Joe can paint the same house in 4 hours.

This means that Joe's unit rate of working is 1/4

If they work together, it would take them lesser time because they are working simultaneously. This means that their unit rates are additive. Combining their unit rates, it becomes

1/8 + 1/4 = 3/8

Assuming that if they work together, it will take them t hours. Therefore, Their unit rate of working will be 1/t.

Therefore,

3/8 = 1/t

3t = 8

t = 8/3 = 2.667

Approximately 2.7 hours

User Apieceofbart
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