39 A 39 can complete the 60 of the work in 9 days while 39 B 39 can complete the work in 71 2 days ...........

Quantitative Aptitude (MTS) Time and work

'A' can complete the 60% of the work in 9 days, while 'B' can complete the work in 7^1/2 days. If they work together, then in how many days will the work be completed?

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Explanation:

- 'A' completes 60% of the work in 9 days. Therefore, 'A' can finish the entire work in 15 days (since 60% corresponds to 9 days, 100% would correspond to \(9 \div 0.6 = 15\) days).

- 'B' completes the whole work in 7.5 days.

- The rate at which 'A' works is \(\frac{1}{15}\) of the work per day.

- The rate at which 'B' works is \(\frac{1}{7.5} = \frac{2}{15}\) of the work per day.

- Working together, 'A' and 'B' complete \(\frac{1}{15} + \frac{2}{15} = \frac{3}{15} = \frac{1}{5}\) of the work per day.

- Hence, together they will finish the work in 5 days.

Correct Answer: Option 3: 5