Question
'X' and 'Y' together can complete the work in 15 days. 'Y' alone can complete the work in 25 days. If Z is 25% more efficient than X, find the time taken by 'Z' alone to finish the work.
Solution
Let the total work be 150 units Combined efficiency of 'X' and 'Y' = (150/15) = 10 units/day Efficiency of 'Y' alone = (150/25) = 6 units/day Efficiency of 'X' alone = 10 - 6 = 4 units/day Efficiency of 'Z' = 4 X (5/4) = 5 units/day Time taken by 'Z' alone to finish the work = 150 ÷ 5 = 30 days
More Time and work Questions
- Karan, Arjun and Krunal alone can complete a work in 40, 60 and 48 days respectively. All of them started working together but after 3 days from start Kara...
- Rajesh and Bhupesh can complete a piece of work in 20 days and Bhupesh alone in 25 days. In how many days can Rajesh alone complete the work?
- A worker completes 30% of a job in 6 days. Assuming the same rate of work, in how many total days will he complete the whole job?
- In an office, an employee plans to do a work in 20 days with 6 laptops. But after 10 days, he found that only 40% of the work is done with the laptops work...
- 35 men can complete a piece of work in 40 days. ‘x’ men started the work and after 30 days 60 more men joined them so that whole work was finished in the d...
- A can complete a piece of work in 24 days. He worked for 21 days and then B finished the remaining work in 6 days. In how many days can A and B finish the ...
- Arjun and Karan can do a work separately in 20 days and 50 days respectively. Arjun started the work and was later joined by Karan. When should Karan join ...
- Working alone, B can complete the work in 30 days. C is twice as efficient as B and A takes 20 days more than it takes C to complete the work. Working toge...
- 50% of the work done by Meena in 2 days is equal to 25% of the work done by Lata in 5 days. If Meena can complete the job alone in 10 days, then how long w...
- Ten men begin to do work. But after some days, four of them left the job. As a result, the job that could have been completed in 40 days is completed in 50...
Relevant for Exams:
