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Arvind can do a work in 20 days and Bakshi in 22 days. If they work on it together for 5 days, then the fraction of the work that is left is:
Question

Arvind can do a work in 20 days and Bakshi in 22 days. If they work on it together for 5 days, then the fraction of the work that is left is:

A.

23/44

B.

28/15

C.

17/7

D.

63/20

Correct option is A


Given:
Arvind can do a work in 20 days and Bakshi in 22 days. They work together for 5 days.
Formula Used:
Total Work = Number of Days ×Efficiency
Solution:
Let total work = LCM of (20 & 22) = 220 units
Efficiency of Arvind = 220/20 = 11
Efficiency of bakshi = 220/22 = 10 work done in 5 days
5 * 21 =105 units
Remaining work = (220 - 105)/220 = 115/220 = 23/44

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