F alone can complete a work in 24 days and G alone can complete the same work in 32 days. F and G start the work together but G leaves the work 8 days before the completion of work. In how many days the total work will be completed?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 120/7 days.
| Understanding/Application |
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Let total work to be done = L.C.M.(24,32) = 96 units F's efficiency = 96/24 = 4 units/day G's efficiency = 96/32 = 3 units/day Let the work is finished in t days, then F alone worked for 8 days, and F and G together worked for (t - 8) days |
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ATQ - 7(t - 8) + (4 × 8) = 96 7t - 56 + 32 = 96 7t = 120 t = 120/7 days |