Advertisements
Advertisements
Question
Choose the most appropriate option
‘A’ and ‘B’ complete a work in 12 days, ‘B’ and ‘C’ in 8 days and ‘C’ and ‘A’ in 16 days. ‘A’ left after working for 3 days. In how many days more will ‘B’ and ‘C’ finish the remaining work?
Options
`3 3/4`
`4 3/4`
`6 5/6`
`7 3/4`
Advertisements
Solution
`4 3/4`
Explanation:
A, B, and C together can do work in
`=(2xx12xx8xx16)/(12xx8+8xx16+16xx12)`
`=96/13` days
Work is done by all in 3 days`=13/96xx3=39/96`
∴ Remaining work`=1-39/96=57/96`, which is to done by B and C.
∴ B and C can do the remaining work in `57/96xx8`
∴`57/12=4 3/4` days.
APPEARS IN
RELATED QUESTIONS
Twenty-five workers were employed to complete a compound wall in 12 days. Five workers left after working for 4 days. The remaining 20 workers completed the work. In how many days the total job was completed?
A contractor Abhay Singh employed some men to do a piece of work which can be done by 16 men in 14 days. At the end of 5 days, 7 of the men stopped working and 3 days later half of the remainder stopped working; the rest finished the work in 5 days. What is the number of men originally employed?
A group of men decided to do a job in 8 days. But since 10 men dropped out every day, the job got completed at the end of the 12th day. How many men were there at the beginning?
A does 80% of work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work?
Twenty women can do a piece of work in sixteen days. Sixteen men can complete the same work in fifteen days. What is the ratio between the capacity of a man and a woman?
4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days, will 10 women complete it?
8 boys and 12 girls together can finish a project work in 5 days. If it takes 50 days for one boy alone to finish the same project, how many days are required for one girl alone to complete the same project work?
Working 8 hours a day, Anu can copy a book in 18 days. How many hours a day should she work so as to finish the work in 12 days?
8 men can finish half of the work in 3 days. If the remaining work is to be completed in 2 days. then the no. of additional men required are?
15 men and 7 women can mow a field in 10 days. In how many days can 30 men and 14 women mow a field thrice as big as the previous one?
