Advertisements
Advertisements
Question
A can finish a piece of work in 15 days and B can do it in 10 days. They worked together for 2 days and then B goes away. In how many days will A finish the remaining work?
Solution
A can finish a piece of work in = 15 days
B can finish a piece of work in = 10 days
∴ A's 1 day work =`1/15`
B's 1-day work =`1/10`
(A+B)'s 1-day work =`1/15+1/10`
`=(2+3)/30=5/30=1/6`
(A+B)'s 2 days work =`1/6xx2=1/3`
Remaining work which will be done by A alone
`=1-1/3=(3-1)/3=2/3`
∴ A can finish 1 work in = 15 days
A can finish `2/3` work in =`15xx2/3` days
`=30/3`days = 10 days
APPEARS IN
RELATED QUESTIONS
22 men can dig a 27 m long trench in one day. How many men should be employed for digging 135 m long trench of the same type in one day?
36 men can do a piece of work in 7 days. How many men will do the same work in 42 days?
72 men do a piece of work in 25 days. In how many days will 30 men do the same work?
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 3 men or 6 boys can finish a work in 20 days, how long will 4 men and 12 boys take to finish the same work?
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 can do a piece of work in 24 days, A and B can do it in 16 days and A, B, and C in `10 2/3` days. In how many days can A and C do it working together?
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?
