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:
विकल्प
18 days
21 days
30 days
24 days
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
Solve the following question and mark the best possible option.
It takes 8 people working at equal rates to finish work in 96 days. How long will 6 workers take to finish the same work?
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 and B together can do a piece of work in 12 days, while B alone can finish it in 30 days. A alone can finish the work in
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?
Pipes P and Q can fill a tank in 5 and 6 h respectively. Pipe R can empty it in 12 h. If all the three pipes are opened together, then the tank will be filled in :
15 men can do a work in 20 days. If there are 25 men, how many days will it take to complete the work?
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:
5 men can do a piece of work in 6 days while 10 women can do it in 5 days. In how many days can 5 women and 3 men do it?
26 men can complete a piece of work in 17 days. How many more men must be hired to complete the work in 13 days?
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?
