16 men can finish a piece of work in 49 days. 14 men started working and in 8 days they could finish certain… · ABC26GN3547
Subject: General Aptitude · Chapter: Time and Work
16 men can finish a piece of work in 49 days. 14 men started working and in 8 days they could finish certain amount of work. If it is required to finish the remaining work in 24 days. How many more men should be added to the existing workforce? [IBPS—RRB Office Assistant (Online) Exam, 2015]
(a)21
(b)28
(c)16
(d)14
Answer
Answer (as printed): D
Explanation
Given M1 = 16; D1 = 49; $\mathrm{W_{1}}$ = 1 M2 = ?; D2 = 24; $\mathrm{W_{2}}$ = ? According to the question M1D1 M 2D2 = $\mathrm{W_{1}}$ $\mathrm{W_{2}}$ 16 × 49 14 × 8 ⇒ = 1 $\mathrm{W_{2}}$ 14 × 8 1 ⇒ $\mathrm{W_{2}}$ = = 16 × 49 7 1 6 Remaining work = 1 − = 7 7 M1D1 M 2D2 Again, = $\mathrm{W_{1}}$ $\mathrm{W_{2}}$ 16 × 49 M 2 × 24 ⇒ = 1 6 7 M 2 × 24 × 7 ⇒ 16 × 49 = 6 ⇒ 16 × 49 = M 2 × 4 × 7 16 × 49 ⇒ M2 = = 28 4×7 Number of additional men = 28 – 14 = 14