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?
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 \( \frac{5}{8} \div 40 = \frac{5}{320} = \frac{1}{64} \) per day.
Therefore, Shushma can complete the whole work alone in 64 days
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