Suppose one painter can paint the entire house in twelve hours, and the second painter takes eight hours to paint a similarly-sized house. How long would it take for both painters to paint the house together?
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Answer: 4.8 hrs
Step-by-step explanation:
Time taken by first painter to paint entire house = 12 hrs
∴ Part of house painted in 1 hr = 1/12
Time taken by second painter to paint entire house = 8 hrs
∴ Part of house painted in 1 hr = 1/8
⇒ Part of house painted by both painters together in 1 hr = 1/12 + 1/8
= (2+3)/24 = 5/24
∴ Time taken by both painters together = 24/5 hrs = 4.8 hrs
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