Question
Working together A and B can do a job in 40 days, B and C in 36 days and all three together in 24 days. In how many days can B alone do the job?
Solution
Given that three people together can do the work in 24 days (1/a)+(1/b)+(1/c)=1/24 Also given (1/b) +(1/c)=1/36 1/a =1/24 - 1/36 1/a =(3-2)/72 a=72 days (1/72)+(1/b)=1/40 (1/b)=(1/40)-(1/72) (1/b)=9-5/360 1/b =1/90 b=90 days
More Time Questions
- A trip from Mumbai to Pune takes 4 hours 30 minutes at a speed of 60 km/hr. How long (in hours) will it take to complete, if the speed is 15m/sec?
- A and B together can complete a piece of work in 35 days while A alone can complete 50% of the work in 20 days. Find the time taken by B to complete 12.5% ...
- If 10 men can complete a piece of work in 12 days by working 7 hours a day, then in how many days can 14 men do the same work by working 6 hours a day?
- 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 ...
- Girish can paint a picture in 4 days when he works for 8 hours per day. Due to illness, he could work for only 6 hours per day and was required to finish p...
- An elephant can do a work as fast as two horses ‘A’ and ‘B’ can do it by working together. If horse ‘A’ alone can compl...
- A and B together can complete a task in 10 days, B and C can do in 15 days, and C and A together can do it in 12 days. How long will they take to complete ...
- Harish and Bimal can complete a task in 20 days. They worked at it for 15 days and then Bimal left. The remaining work was done by Harish alone, in 10 days...
- Working alone, B can complete the work in 20 days. C is twice as efficient as B and A takes 2 days more than it takes C to complete the work. Working toget...
- A car is moving at a uniform speed of 35 km/h. What is the time it takes to cover 140 km?
