Question : 56 persons can repair a bridge in 20 days. If 14 more people join them, then the bridge can be repaired in:
Option 1: 18 days
Option 2: 12 days
Option 3: 16 days
Option 4: 14 days
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Correct Answer: 16 days
Solution : Given, 56 persons can repair a bridge in 20 days. We know that work = Total manpower × Total days ⇒ $M_1D_1= M_2D_2$ Here M1 = 56, D1 = 20, M2 = 70, D2 = $y$ (Let) ⇒ $56 × 20 = 70 × y$ ⇒ $y = \frac{56×20}{70}$ ⇒ $y=16$ days Hence, the correct answer is 16 days.
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Question : A work can be completed by 20 men in 50 days. 30 more men join them after 10 days of work. How many days will be saved in the completion of the work?
Option 2: 20 days
Option 3: 24 days
Option 4: 28 days
Question : Shivam is 20 percent less efficient than Vivek. If Vivek can make a helmet in 12 days, then in how many days can Shivam make the same helmet?
Option 1: 12 days
Option 2: 18 days
Option 3: 15 days
Question : X alone can finish a work in 18 days, and Y alone can finish the same work in 9 days. If X, Y, and Z together can finish the same work in 4 days, then in how many days Z alone can finish the work?
Option 2: 10 days
Option 3: 14 days
Option 4: 16 days
Question : Sachin is 12.5 percent less efficient than Rohit. If Sachin alone can finish a work in 24 days, then in how many days will Rohit alone finish the same work?
Option 1: 16 days
Option 2: 21 days
Option 3: 18 days
Option 4: 20 days
Question : Akbar can complete a piece of work alone in 12 days, while Anthony can complete the same work alone in 20 days. If they work on alternate days with Anthony starting the work, then in how many days can they complete the whole work?
Option 1: $15$ days
Option 2: $16$ days
Option 3: $14 \frac{4}{5}$ days
Option 4: $15 \frac{1}{5}$ days
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