Question : Sara can finish a work in 18 days and Tara can complete the same work in 15 days. Tara worked for 10 days and left the job. In how many days can Sara finish the remaining work alone?
Option 1: 6
Option 2: 7
Option 3: 8
Option 4: 5
Correct Answer: 6
Solution :
Given: Sara can finish a work in 18 days and Tara can complete the same work in 15 days. Tara worked for 10 days and left the job.
Sara in 1 day can do $\frac{1}{18}$ part of the work.
Tara in 1 day can do $\frac{1}{15}$ part of the work.
So, work done by Tara in 10 days $=\frac{10}{15}=\frac{2}{3}$ part of the work.
Remaining work $= (1–\frac{2}{3})=\frac{1}{3}$ part.
Therefore, Sara can do the remaining work in $(18×\frac{1}{3})=6$ days.
Hence, the correct answer is 6.
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