Multiple Choice Questions

39 A 39 alone can do a piece of work in 10 days and 39 B 39 alone can do it in 15 days 39 A 39 and ...........

Quantitative Aptitude (MTS) Time and work

'A' alone can do a piece of work in 10 days and 'B' alone can do it in 15 days. 'A' and 'B' undertook to do the work for Rs42,000.

With the help of 'C', they completed the work in 5 days. How much (in Rs) is to be paid to C?

This questions was previously asked in

SSC MTS 20th October 2021 Shift-2

7,000

15,000

14,000

21,000

- 'A' can complete the work in 10 days, so A's work rate is 1/10 of the work per day.

- 'B' can complete the work in 15 days, so B's work rate is 1/15 of the work per day.

- Together, A and B’s combined work rate is (1/10 + 1/15) = 1/6 of the work per day.

- A, B, and C together completed the work in 5 days. So, their combined work rate is 1/5 of the work per day.

- The difference in the work rates ((1/5 - 1/6) = 1/30) is attributed to C alone.

- C's work rate is thus 1/30 of the work per day.

- C worked for 5 days, so C completed 5/30 = 1/6 of the work.

- The total payment is Rs 42,000, and 1/6 of this is Rs 7,000.

Correct Answer: Option 1: Rs 7,000

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