Multiple Choice Questions

39 A 39 can complete a work in 15 days and 39 B 39 can complete the same work in 20 days Working to...........

Quantitative Aptitude (MTS) Time and work

'A' can complete a work in 15 days and 'B' can complete the same work in 20 days. Working together, in how many days, will

they complete 35% of the same work?

- First, calculate the work rate of ‘A’ and ‘B’.

- ‘A’ can complete the work in 15 days, so the work rate is 1/15 of the work per day.

- ‘B’ can complete the work in 20 days, so the work rate is 1/20 of the work per day.

- Together, they complete the work at a combined rate of (1/15 + 1/20) per day.

- Find a common denominator to add: 1/15 + 1/20 = 4/60 + 3/60 = 7/60.

- Together, they complete 7/60 of the work per day.

- To complete 35% of the work, or 35/100, solve (35/100) divided by (7/60).

- Simplify to calculate: (35/100) * (60/7) = 3.

- Option 2: 3 days is correct.

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