Question : Amar can complete a work in 15 days and Prem in 12 days. Starting with Amar, they work on alternate days. In how many days will the work be completed?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution :
Given: Time taken by Amar to complete work = 15 days
Time taken by Prem to complete work = 12 days
Starting with Amar, they work on alternate days.
Let the total work = LCM of 15 and 12 = 60 units
Amar’s 1 day work =
Prem’s 1 day work =
If they work on alternate days they will finish (4 + 5) = 9 units of work in 2 days,
In 12 days they will finish (9 × 6) = 54 units of work,
On the 13th day, Amar will finish 4 more units,
So, (54 + 4) = 58 units of work is done.
We have remaining (60 – 58) = 2 units of work, but Prem can finish 5 units in a day.
So, he will able to finish 2 units in
Hence, the correct answer is
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