A and B can do a certain work in 25 days and 40 days respectively They work together for 8 days C al...........

Quantitative Aptitude (MTS) Time and work

A and B can do a certain work in 25 days and 40 days, respectively. They work together for 8 days. C alone completes the

remaining work in 24 days. A and C together will complete 60% of the same work in:

This questions was previously asked in

SSC MTS 8th October 2021 Shift-3

8 days

9 days

10 days

12 days

- Calculate A's daily work rate: A can complete the work in 25 days, so A's rate is 1/25 of the work per day.

- Calculate B's daily work rate: B can complete the work in 40 days, so B's rate is 1/40 of the work per day.

- Determine combined work by A and B: Together, they complete 8 × (1/25 + 1/40) of the work in 8 days.

- Subtract from 1 to find remaining work after 8 days.

- C completes remaining work in 24 days. This helps in understanding C's work rate.

- Calculate 60% of the total work.

- Determine how long it takes A and C to complete this 60% together using their combined rate: 1/25 (A) + 1/C.

- From above calculations, you'll find the answer matches 10 days.

- Option:3 - 10 days is the correct answer.

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