A can do a work in 45 days he works at it for 15 days and then B alone finishes the remaining work in 24 days find the time taken to complete 80% of the work if they work together
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The time taken to complete 80% of the work is 16 days.
Step-by-step explanation:
A 's one day work = 1/45
A's 15 days work = 15/45 = 1/3
So, A finished 1/3 of the work, left work = 1-1/3 = 2/3
According to the question,
B completed the remaining work i.e. 2/3 of the work in 24 days.
So, B can complete the work in = 3/2 ×24 = 36 days
Now, B's one day work = 1/36
working together their one day work is 1/45+ 1/36 days
= 4+5/180 = 9/180 = 1/20
So they can complete the total work, working together in 20 days.
100% of the work can be done in 20 days.
80% of the work would be done in 20×80/100 = 16 days.
The 80% work would be completed in 16 days.
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