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Question

A and B individually can complete the work in 30 days and 45 days respectively. If the time taken by C alone to complete the work is 1.5 times the time taken by A and B together to complete the work, find the time taken by C to complete the work while working alone.

A 21 days Correct Answer Incorrect Answer
B 27 days Correct Answer Incorrect Answer
C 15 days Correct Answer Incorrect Answer
D 24 days Correct Answer Incorrect Answer
E 12 days Correct Answer Incorrect Answer

Solution

Time taken by A and B together to complete the work = (30 × 45)/ (30 + 45) = 18 days Time taken by C alone to complete the work = 1.5 × 18 = 27 days

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