If Jaya and Shushma together can complete a given task together in 40 days, if Jaya left the job after working for 15 days, and the remaining job was done by Shushma in 40 days, then in how many days Shushma can complete the whole work alone?

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RRB NTPC Exam 20 Jan 2021 click here to view all questions

If Jaya and Shushma together can complete a given task together in 40 days, if Jaya left the job after working for 15 days, and the remaining job was done by Shushma in 40 days, then in how many days Shushma can complete the whole work alone?

A64 days

B72 days

C80 days

D56 days

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correct answer is: 64 days Explanation: Let's denote the total work as 1 unit. Jaya and Shushma together can complete the work in 40 days, so their combined work rate is $\frac{1}{40}$ per day. Jaya works for the first 15 days, completing $15\times \frac{1}{40}=\frac{15}{40}=\frac{3}{8}$ of the work. The remaining work is $1-\frac{3}{8}=\frac{5}{8}$ Shushma completes this remaining work in 40 days, so her work rate is $\frac{5}{8}÷40=\frac{5}{320}=\frac{1}{64}$ per day. Therefore, Shushma can complete the whole work alone in 64 days Akhilesh ? answered Apr 9 '25 at 06:52

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