Question
Person A is 80% more efficient than person
B. A and B together can complete a certain task in 10 days, while B and C together can complete the same task in 7 days. What is the ratio of the efficiency of A to that of C?
Solution
Let the efficiency of 'B' be '5x' units/day
So, efficiency of 'A' = 5x X 1.8 = '9x' units/day
So, total work = 10 X (5x + 9x) = '140x' units
So, combined efficiency of 'B' and 'C' = 140x ÷ 7 = '20x' units/day
So, efficiency of 'C' = 20x - 5x = '15x' units/day
So, required ratio = 9x:15x = 3:5
More Time and work Questions
- 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 together can finish a job in ‘x’ days, while A alone takes ‘x + 32’ days to complete it. B alone can finish the job in 90 days. If C is 20% more ef...
- Karan, Arjun and Krunal alone can complete a work in 30, 45 and 36 days respectively. All of them started working together but after 3 days from start Kara...
- A, B and C are hired at Rs 1050 to do a piece of work. A and B together complete 19/23 part of the work. And B and C together complete 8/23 of the work. Th...
- Anuj can complete a certain piece of work in 25 days by taking rest for 9 hours daily. If he rests twice as much as before and also works twice as fast, th...
- P, Q, R and S can do a piece of work in 20 days. If P and Q together can do it in 50 days, and R alone in 60 days, then in how many days can S alone do it?
- ‘A’ is 100% more efficient than ‘C’, while ‘B’ is 200% more efficient than ‘A’. Together, they complete a task in 15 days. After ‘A’ and ‘C’ work for 9 day...
- A and B can finish a piece of work in 20 days and 30 days respectively. Both work on alternate days. In how many days will the work be completed when A sta...
- A, B, and C together can complete the assignment in 8 days. B and C together take (48/5) days, and C alone completes half in 8 days. Find the ratio of the ...
- Pooja is twice as efficient as Nita and four times as efficient as Kavya. If Nita takes 30 days to finish some work, then find the time taken by Pooja and ...
