Advertisements
Advertisements
Question
Choose the most appropriate option.
Two men and seven boys can do work in 14 days. Three men and eight boys can do the same work in 11 days. Further, eight men and six boys can do three times the amount of this work in:
Options
18 days
21 days
30 days
24 days
Advertisements
Solution
21 days
Explanation:
According to question
(2 × 14) men + (7 × 14) boys = (3 × 11) men + (8 × 11) boys
⇒ 5 men = 10 boys or 1 man = 2 boys
∴ (2 men + 7 boys) = (2 × 2 + 7) boys = 11 boys
(8 men + 6 boys) = (8 × 2 + 6) boys = 22 boys
Let the required number of days be x
According to the ratio proportion,
Boys 22: 11 Work 1: 3] :: 14 : x
∴ (22 × 1 × x) = (11 × 3 × 14)
`∴"x"=462/22=21`
Hence, the required number of days = 21.
APPEARS IN
RELATED QUESTIONS
10 men can finish the construction of a hut in 8 days. How many men are needed to finish the same in half a day?
16 men can do a piece of work in 16 days. 4 days after they started the work 8 more men joined them. How many days will they now take to complete the remaining work?
A group of workers accepted to do a piece of work in 25 days. If 6 of them did not turn up for the work and the remaining workers did the work in 40 days, then the original number of workers was
A water tank has eight pipes fitted into it. Pipes are of two types: Green Pipe and Red Pipe. Green pipes are used to fill the tank and the Red pipes are used to empty the tank. Every Green pipe can fill the tank in 12 hours and every Red pipe can empty it in 36 hours. On opening all the pipes an empty tank is filled in 3 hours. The number of Red pipe is
If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same work in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be
15 men can do a work in 20 days. If there are 25 men, how many days will it take to complete the work?
X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last?
A can lay railway track between two given stations in 16 days and B can do the same job in 12 days. With help of C, they did the job in 4 days only. Then, C alone can do the job in:
Ravi and Kumar are working on an assignment. Ravi takes 6 hours to type 32 pages on a computer, while Kumar takes 5 hours to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?
B is `4/3` times as efficient as A. If A can complete `5/8`th of a given task in 15 days, what fraction of the same task would remain incomplete if B works on it independently for 10 days only?
