Ankur started a work and finished 75% of it in 18 days. If Ankur and Akash started to work together, they could complete 60% of the work in 12 days. Find the time taken by Akash to complete the work.
Answer
Correct Answer : e ) 120 days
Explanation :According to question
Ankur can finish 75% of the work in 18 days
Ankur and Akash together can finish 60% of work in 12 days
Now from here, there are two approaches:
Basic Method:
Thus, time taken by Akash to complete the work = 120 days
Shortcut:
Let us suppose that total units of work is 120.
Ankur completes 120/24 = 6 units of work in a day.
Akash and Ankur together complete 120/20 = 6 units of work in a day.
If Akash worked alone, he will do 6 – 5 = 1 unit of work.
Time taken by Akash to complete 120 units of work is 120 days.
Hence, (e) is the correct answer.
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