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.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 92/5 days.
Sakshi and Komal together can complete a work in 10 days. Komal can complete the same work in 22 days
L.C.M(10, 22) = 220
The efficiency of Sakshi and Komal = 220/10 = 22 units
The efficiency of Komal = 220/22 = 10 units
So, the efficiency of Sakshi = 22 - 10 = 12 units
Let, the work be completed in n days
⇒ 22 × 3 + (n - 3) × 10 = 220
⇒ 66 + (n - 3) × 10 = 220
⇒ (n - 3) × 10 = 154
⇒ (n - 3) = 154/10 = 77/5
⇒ n = 77/5 + 3 = (77 + 15)/5
⇒ n = 92/5
Hence, the work will be completed in 92/5 days