Question
Quantitative Aptitude Question on Time & Work
Ramesh and Ganesh can together complete a work in 16 days. After seven days of working together, Ramesh got sick and his efficiency fell by 30%. As a result, they completed the work in 17 days instead of 16 days. If Ganesh had worked alone after Ramesh got sick, in how many days would he have completed the remaining work?
A
13.5
B
11
C
12
D
14.5
Answer
13.5
Explanation
Solution
The correct answer is (A):
Let r and g be the rates of work of Ramesh and Ganesh respectively.
Let (r + g)16 = 1
ā (r+g) = 1/16
(r+g)7 = 7/16
Remaining work to be done = 9/16
Given, (0.7r+g)10 = 9/16
7r+10g = 9r+9g
g = 2r
r = 1/48
g = 1/24
Time taken by g alone to complete the work 9/16/1/24 = 13.5