QA – Placement Quizzes | Work and Wages | Question 10

600 men can make a road in 500 days. They start working together but after every hundred days, 50 men leave the work. Find the total time (in days) it takes to make the road.
(A) 600
(B) 550
(C) 650
(D) 750

Answer: (C)
Explanation: 600 men can make a road in 500 days.
=> Total work = 600 x 500 = 3,00,000 units
Now, 600 men start working but after every hundred days, 50 men leave the work.
=> Work done in first 100 days = 600 x 100 = 60,000 units and total work done = 60,000 units
=> Work done in next 100 days = 550 x 100 = 55,000 units and total work done = 1,15,000 units
=> Work done in next 100 days = 500 x 100 = 50,000 units and total work done = 1,65,000 units
=> Work done in next 100 days = 450 x 100 = 45,000 units and total work done = 2,10,000 units
=> Work done in next 100 days = 400 x 100 = 40,000 units and total work done = 2,50,000 units
=> Work done in next 100 days = 350 x 100 = 35,000 units and total work done = 2,85,000 units
=> Work done in next 50 days = 300 x 50 = 15,000 units and total work done = 3,00,000 units
Therefore, total time (days) taken to make the road = 650 days
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