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If Tim can paint a house in 6 hours, and Tom can paint the same house in 8 hours, how long will it take them together?

Question and options

If Tim can paint a house in 6 hours, and Tom can paint the same house in 8 hours, how long will it take them together?
  1. 2.4 hours
  2. 3373\frac{3}{7} hours
  3. 4 hours
  4. 14 hours

Answer and explanation

Correct answer: B - \(3\frac{3}{7}\) hours
Together they paint 16+18=724\frac{1}{6} + \frac{1}{8} = \frac{7}{24} of the house per hour, so the time is 247=337\frac{24}{7} = 3\frac{3}{7} hours (about 3.43 hours).

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  • CUSAT CAT Five-Year LL.B.

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