Question : Raju and Rajat working together take 5 days to complete a piece of work. If Raju alone can do it in 7 days, how long would Rajat take to complete the same work?
Option 1: 18 days
Option 2: 16.5 days
Option 3: 17 days
Option 4: 17.5 days
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Correct Answer: 17.5 days
Solution :
Raju and Rajat working together take 5 days to complete a task.
Raju alone can do it in 7 days.
Rajat alone can do the work in 1 day = $\frac{1}{5} – \frac{1}{7} = \frac{7-5}{35}=\frac{2}{35}$th of the task.
Rajat can complete the whole task in $\frac{35}{2}$days $ = 17\frac{1}{2} =17.5$ days
Hence, the correct answer is 17.5 days.
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