# 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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