A man completes 7/8 of a job in 21 days. How many more days will it take him to finish the job if quantum of w

Question

A man completes 7/8 of a job in 21 days. How many more days will it take him to finish the job if quantum of work further increased by 50% ?

Accepted Answer

Here's a brief, clear explanation:

1.  **Calculate the man's work rate:**
    The man completes 7/8 of a job in 21 days.
    This means to complete the full original job (8/8), he would take (21 days / 7) * 8 = 3 * 8 = 24 days.
    So, his work rate is 1/24 of the original job per day.

2.  **Calculate the new total quantum of work:**
    The original quantum of work (let's consider it as 1 unit) is increased by 50%.
    New total work = 1 * (1 + 50/100) = 1 * 1.5 = 1.5 units.

3.  **Calculate the remaining work:**
    Work already completed = 7/8 of the original job = 7/8 units.
    Remaining work = New total work - Work already completed
    Remaining work = 1.5 - 7/8 = 3/2 - 7/8 = (12 - 7) / 8 = 5/8 units.

4.  **Calculate the time to finish the remaining work:**
    Time = Remaining Work / Work Rate
    Time = (5/8 units) / (1/24 units per day)
    Time = (5/8) * 24 = 5 * 3 = 15 days.

Therefore, it will take him 15 more days to finish the job.

The final answer is D) 15.

Answer

24

Answer

21

Answer

18

Answer

15

A man completes 7/8 of a job in 21 days. How many more days will it take him to finish the job if quantum of work further increased by 50% ?

Explanation

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