Question
A and B together can complete a piece of work in 36 days while A and C together can complete the same work in 39 days. If A, B, and C together can complete 75% of the work in 19.5 days then find the time taken by B and C together to complete 77% of the whole work.
Solution
Total time taken by A, B, and C to complete. the whole work = 19.5/0.75 = 26 days Let the total amount of work = 468 units (LCM of 36, 39 and 26) Efficiency of A and B together = 468/36 = 13 units per day Efficiency of A and C together = 468/39 = 12 units per day Efficiency of A, B, and C together = 468/26 = 18 units per day Efficiency of A = 13 + 12 – 18 = 7 units per days efficiency of B=18-12=6days efficiency of C=18-13=5days Then the efficiency of B+C= 6+5=11days Required time taken of B+C= (468×.77)/11 =32.76days
More Time and work Questions
- Jack is twice efficient as Jill and Jill can do a piece of work in 30 days. Jill started the work and after a few days Jack joined him. They completed the ...
- A man, a woman and a boy can do a work in 4, 8, 32 days respectively. How many boys are required with 1 man and 1 woman to complete the same work in&n...
- A can complete a work in 15 days. B takes 5 days less than A to complete the same work. In how many days can both of them together complete 60% of the work...
- Rahul can complete a project in 50 days, while Karan can finish the same project in 75 days. Rahul starts working alone, and after 30 days, Karan joins him...
- Virat can do a piece of work in 26 days and Sachin can do the same work in 39 days. If Virat works for 5 days and got Rs. 3000, and the remaining work will...
- ‘Pooja’ alone can finish a piece of work in 60 days. After working for 36 days, she left the job. ‘Vikram’ then completed the rest in 12 days. How many day...
- Anil alone can finish some work in 50 days. Anil and Aman completed the work together and earned Rs. 9,000 as wage. If Aman's wage share is Rs. 3,600, then...
- X and Y together complete a job in 18 days, while Y alone can do it in 30 days. The ratio of efficiencies of X and Z is 4:5 respectively. What is the ratio...
- 30 workers working 8 hours daily can finish a job in 20 days. Find the time needed by 20 workers working 12 hours daily to finish the same job.
- A and B can complete a work together in 36 days. If A alone can complete one-fourth of the work in ‘x’ days and remaining work is completed by ...
