Question
‘C’ and ‘D’ can complete a piece of work
together in 24 days. If ‘C’ alone can complete it in 40 days, how long would ‘D’ take to do the same work alone?Solution
ATQ,
Let the total work be 120 units. {LCM (24 and 40)}
Combined efficiency of 'C' and 'D' = 120 ÷ 24 = 5 units/day
Efficiency of 'C' = 120 ÷ 40 = 3 units/day
Efficiency of 'D' = 5 - 3 = 2 units/day
So, time taken by 'D' alone = 120 ÷ 2 = 60 days
- 25 employees working 9 hours a day take 20 days to complete a project. How many employees working for 8 hours a day are needed to complete twice the given ...
- A man alone can do a work in 25 days. A woman can complete half of the same work in 20 days. In how many days can they complete 90% of the work together?
Sachin can complete a job in 15 days. Ankit alone can complete the same job in 10 days. Sachin works for 9 days and then the remaining job is completed ...
The efficiency ratio of workers A and B is 15:17. If both A and B collaboratively finish a task in 30 days, how long would it take for A to complete the...
X men can complete the piece of work in 45 days and (X + 46) men can complete the same work in 23 days less than that of days taken by X men. Find the v...
30 men can complete a piece of work in 11 days. 15 men started the same work and worked for 8 days, and then joined by ‘x’ more men such that the re...
'B' and 'N' can collectively finish a task in 88 days, and 'N' and 'S' together can complete the same work in 66 days. If 'B' and 'S' work together, the...
A group of 16 women can complete a certain job in 48 days, working 7 hours each day. How many women would be required to complete the same job in 32 day...
‘A’ and ‘B’ can do a piece of work in 25 days and 30 days, respectively. If they started the work together and worked on it for 8 days, then fin...
- Pooja used to solve 36 problems in 72 minutes. After her efficiency decreased by 33.33%, how long will she now take to solve the same number of problems?
Relevant for Exams:
