Advertisements
Advertisements
Question
A can-do `1/4` of work in 5 days and B can do `1/3` of the same work in 10 days. Find the number of days in which both working together will complete the work.
Advertisements
Solution
A can-do `1/4` of work in = 5 days
A can-do 1 work in = 5 × 4 days
= 20 days
B can do `1/3` of work in = 10 days
B can do 1 work in = 10 × 3 days
= 30 days
A's 1-day work =`1/20`
B's 1-day work =`1/30`
(A+B)'s 1 day work =`1/20+1/30`
`=(3+2)/60`
`=5/60`
`=1/12`
∴ A and B working together will complete the work in = 12 days
APPEARS IN
RELATED QUESTIONS
In a fort 150 men had provisions for 45 days. After 10 days, 25 men left the fort. How long would the food last at the same rate?
If 56 workers can build a wall in 180 hours, how many workers will be required to do the same work in 70 hours?
A car takes 6 hours to reach a destination by travelling at a speed of 50 km per hour. How long will it take when the car travels at a speed of 75 km per hour?
If 15 men can complete a piece of work in 30 days, in how many days will 18 men complete it?
A fort had provisions for 450 soldiers for 40 days. After 10 days, 90 more soldiers come to the fort. Find in how many days will the remaining provisions last at the same rate?
A contractor undertakes to dig a canal, 6 kilometers long, in 35 days and employed 90 men. He finds that after 20 days only 2 km of the canal has been completed. How many more men must be employed to finish the work on time?
A and B together can do a piece of work in `6 2/3` days, but B alone can do it in 10 days. How long will A take to do it alone?
A can do a piece of work in 20 days and B in 15 days. They worked together on it for 6 days and then A left. How long will B take to finish the remaining work?
A and B can do a work in 8 days; B and C in 12 days, and A and C in 16 days. In what time could they do it, all working together?
A and B complete a piece of work in 24 days. B and C do the same work in 36 days; and A, B, and C together finish it in 18 days. In how many days will:
(i) A alone,
(ii) C alone,
(iii) A and C together, complete the work?
