Question
‘R’ and ‘S’ together can finish a work in 25 days. If ‘R’ increases his efficiency by 60% and ‘S’ decreases his efficiency by 20%, then the time taken remains unchanged. Find the ratio of efficiencies of ‘R’ and ‘S’, respectively.
Solution
Let the efficiency of ‘R’ and ‘S’ be ‘x’ units/day and ‘y’ units/day, respectively. So, total work = {(x + y) × 25} units After change in efficiencies, Also, total work = (1.6x + 0.8y) × 25 So,
1.6x + 0.8y = x + y Or,
0.6x = 0.2y Or,
x : y = 1 : 3 So, ratio of efficiency of ‘R’ and ‘S’ = 1 : 3
More Time and work Questions
- X can do a piece of work in 20 days. He worked at it for 5 days and then Y finished it in 15 days. In how many days can X and Y together finish the work?
- 'A' and 'B' alone can complete a work in 14 days and 21 days, respectively. Find the time taken by them to complete the work if they work on alternate days...
- A and B can complete a piece of work in 12 days and 16 days respectively. They work together for 4 days, and then A leaves. How many more days will B take ...
- 'X' and 'Y' together can complete the work in 16 days. 'Y' alone can complete the work in 24 days. If Z is 50% more efficient than X, find the time taken b...
- Ankit and Priya together can complete a piece of work in 200 days and 10 minutes, while Priya and Vikas together can complete the same work in 130 days and...
- An inlet pipe can fill a tank in 15 minutes when there’s no leakage. However, due to a leak in the tank, it takes 21 minutes to fill it completely. How lon...
- 6 boys and 8 girls can do a piece of work in 12 days. 7 boys and 11 girls can do the same piece of work in 10 days. In how many days can 2 boys and 6 girls...
- A work can be completed by ‘A’ and ‘B’, alone in 10 days and 12 days, respectively. Find the number of days taken by ‘C’ to complete the same work alone if...
- 30 workers are laying a 6 km railway track. After 18 days, they finish 3/5 of the total work. To speed it up, 10 more workers are added. How many days will...
- A can complete a work in 18 days. B takes 6 days less than A to complete the same work. In how many days can both of them together complete 50% of the work...
Relevant for Exams:
