Question : A alone can do a piece of work in 7 days, while B alone can do it in 10 days. In how many days will they complete the same work if they both work together?
Option 1: $\frac{105}{17}$ days
Option 2: $\frac{35}{17}$ days
Option 3: $\frac{70}{17}$ days
Option 4: $\frac{84}{17}$ days
Correct Answer: $\frac{70}{17}$ days
Solution :
One day work of A = $\frac{1}{7}$
One day work of B = $\frac{1}{10}$
One day work of A and B = $\frac{1}{7}+\frac{1}{10}$
= $\frac{10+7}{70}$
= $\frac{17}{70}$
Both A and B can complete the work in $\frac{70}{17}$ days.
Hence, the correct answer is $\frac{70}{17}$ days.
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