A and B together, B and C together and A and C together can complete a piece of work in 88 days, 66 days and 72 days respectively. Find the ratio of the efficiencies of A, B and C, respectively.

Let, the total work be 792 units (LCM of 88, 66 and 72)

Amount of work done by A and B together in one day = 792/88 = 9 units

Amount of work done by B and C together in one day = 792/66 = 12 units

Amount of work done by A and C together in one day = 792/72 = 11 units

Amount of work done by A, B and C together in one day = (9 + 12 + 11)/2 = 16 units

Amount of work done by A alone in one day = 16 – 12 = 4 units

Amount of work done by B alone in one day = 16 – 11 = 5 units

Amount of work done by C alone in one day = 16 – 9 = 7 units

So the desired ratio = 4:5:7

- A and B together can complete a piece of work in 30 days while A alone can complete 50% of the work in 25 days. Find the time taken by B to complete 80% of the work.
- A contractor undertook to do a work in 60 days and employed 30 men to do it. After 45 days he found that only `3/5` th of the work was done. How many more men must be employed so that the work may be finished in time?
- A can cultivate 3/5
^{th}of the land in 15 days and B can cultivate 1/4^{th}of the land in 10 days. In how many days working together A and B can cultivate 13/25^{th}of the land? - 55 men can complete a piece of work in 12 days. 15 men started the same work and worked for 10 days, and then joined by ‘x’ more men such that the remaining work is completed in 10 days. Find the value of ‘x’.
- A and B together, B and C together and A and C together can complete a piece of work in 40 days, 30 days and 50 days respectively. Find the ratio of the efficiencies of A, B and C, respectively.
- X men can complete the piece of work in 36 days and (X + 30) men can complete the same work in 15 days less than that of days taken by X men. Find the value of X.
- Two pipes A and B can fill a tank in 24 min., and 32 min, respectively. If both the pipes are opened simultaneously, after how much time B should be closed so that the tank is full in 18 minutes?
- A can do a piece of work in 12 days, while B alone can do it in 18 days. They work together for 6 days and the rest of the work is completed by C in 4 days. If they get Rs. 720 for the whole work, how should they divide the money?
- A can complete 5/6 of a work in 15 days and B can complete 2/3 of work in 8 days. In how many days both A and B together can complete the work?
- A is thrice as efficient as B and can finish a piece of work in 20 days less than B. B can finish this work in how many days?

More Time and work Questions

×