Sun	Mon	Tue	Wed	Thu	Fri	Sat
23	24	25	26	27	28	1
2	3	4	5	6	7	8
9	10	11	12	13	14	15
16	17	18	19	20	21	22
23	24	25	26	27	28	29
30	31	1	2	3	4	5

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Multiple Choice Questions

A certain number of persons can complete a piece of work in 46 days If there were 8 persons more the...........

Quantitative Aptitude (MTS) Time and work

A certain number of persons can complete a piece of work in 46 days. If there were 8 persons more, the work could be finished

in 16 days less. How many persons were originally there?

This questions was previously asked in

SSC MTS 7th October 2021 Shift-1

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Explanation:

- Let's designate the original number of people as "n."

- The work would take 46 days with these "n" people.

- With 8 more people, i.e., (n + 8), the work takes 30 days (46 days - 16 days).

- The amount of work can be represented as "People x Days."

- Thus, n x 46 = (n + 8) x 30.

- Simplifying the equation: 46n = 30n + 240.

- This gives 16n = 240.

- Solving this, n = 15.

- Therefore, **Option 3: 15** is the correct number of original people. ✅

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