While working together on a task, Amit and Sumit received Rs. 600 and Rs. 400 respectively. If Amit can do the task alone in 12 days, then how much time will Sumit take to do the task alone?
1). 8 days
2). 9 days
3). 15 days
4). 18 days
Solution:
Let x be the number of days taken by Sumit to finish the work alone.
Given: Amit takes 12 days to complete the work alone.
Salary of Amit = Rs.600
Salary of Sumit = Rs.400
Work done by Amit in one day = 1/12
Work done by Sumit in one day = 1/x
Ratio of their wages = Ratio of their efficiencies
600 : 400 = (1/12) : (1/x)
3/2 = x/12
x = (3/2)(12)
x = 18 days
So, Sumit takes 18 days to complete the work alone.
The correct option is 4). 18 days