Advertisements
Advertisements
प्रश्न
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:
पर्याय
18 days
21 days
30 days
24 days
Advertisements
उत्तर
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
संबंधित प्रश्न
A tank is connected to three pipes – Pipe A, B, and C. Pipe A can fill the tank in 6 hours, B can fill the tank in 8 hours and Pipe C can empty the full tank in 12 hours. How much time will it take to fill the tank completely if all three pipes are working together?
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?
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
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:
A takes twice as much time as B or thrice as much time as C to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in:
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?
Anil can do a job in 10 days. Sunn is 40% more efficient than Anil. Find the no. of days required by Sunil to do the same job.
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?
A project manager hired 16 men to complete a project in 38 days. However, after 30 days, he realized that only `5/9`th of the work is complete. How many more men does he need to hire to complete the project on time?
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?
