Five men working together can complete a work in 8 days. Om Prakash who can complete the same work independently in 24 days joined them after 4 days. Under the circumstances in how many days the work will be completed?

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Five men working together can complete a work in 8 days. Om Prakash who can complete the same work independently in 24 days joined them after 4 days. Under the circumstances in how many days the work will be completed?

A5

B4

C7

D3

Answer:

C. 7

Read Explanation:

The total work = 24 (LCM of 8 and 24) The efficiency of five men = 24/8 = 3 The efficiency of Om Prakash = 24/24 = 1 total work done by five men in 4 days = 3 × 4 = 12 Total work need to be completed = 24 - 12 = 12 Total time taken by given men and Om Prakash to complete the remaining work = 12/(3 + 1) = 12/4 = 3 days The total time to complete the work = 4 + 3 = 7 days

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