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

- Let's denote the original number of persons as \(x\).

- The work done is constant, so the total effort (persons × days) remains the same.

- Original scenario: \(x \times 46\)

- New scenario with 8 more persons: \((x + 8) \times 30\) (since 16 days less means 46 - 16 = 30).

- Equation: \(x \times 46 = (x + 8) \times 30\).

- Solving gives \(46x = 30x + 240\), resulting in \(16x = 240\).

- Solving \(x = 15\).

Option 1 (##1, 25##): Too high, the equation won't balance.

Option 2 (##2, 18##): Doesn't satisfy our equation.

Option 3 (##3, 15##): ? Correct based on calculations.

Option 4 (##4, 20##): Doesn't satisfy our equation.

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