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Sakshi and Komal together can complete a work in 10 days. Komal can complete the same work in 22 days. They started working together but Sakshi left t
Question

Sakshi and Komal together can complete a work in 10 days. Komal can complete the same work in 22 days. They started working together but Sakshi left the work after 3 days and Komal completed the remaining work alone. Find the total number of days in which the work is completed.

A.

885\frac {88}{5}​ days

B.

925\frac {92}{5}​ days

C.

975\frac {97}{5}​ days

D.

445\frac {44}{5}​ days

Correct option is B

Given:
Sakshi and Komal together can complete a work in 10 days.
Komal alone can complete the same work in 22 days.
Sakshi left work after 3 days.
Formula Used:
Work = Efficiency x Time.
Solution:
Total work = LCM(10, 22) = 110 units
Efficiency of Sakshi and Komal together =11010\frac{110}{10}​ = 11
Efficiency of Komal = 11022\frac{110}{22}​= 5
Work done by Sakshi and Komal in 3 days = 11 × 3 = 33 units
Remaining work = 110 - 33 = 77 units
Days taken by Komal to complete the remaining work =775\frac{77}{5}​ days

Total number of days in which work is completed = 3 + 775\frac{77}{5}​ = 925\frac{92}{5}​ days.

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