मराठी

Two Men and Seven Boys Can Do a 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:

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

MCQ
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.

shaalaa.com
Time and Work (Entrance Exam)
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
2016-2017 (May) Set 1

संबंधित प्रश्‍न

Madhu takes twice as much time as Uma to complete work and Ramesh does it in the same time as Madhu and Umatogether. If all three working together can finish the work in 6 days, then the time taken by Madhu to finish the work is


Solve the following question and mark the best possible option.
A tank can be filled up by two pipes A and B in 2 hours and 3 hours respectively. A third pipe C can empty the full tank in 6hours. If all the taps can be turned on at the same time, the tank will be full in:


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 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, B and C can do a piece of work in 20, 30 and 60 days, respectively. In how many days can A do the work, if he is assisted by B and C on every third day?


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:


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?


Kiran can complete a task in 15 days. He works for 5 days and then leaves. If Venkat completes the remaining task in 30 days, then in how many days can Venkat alone complete the same task?


A can do a work in 6 days and B in 9 days. How many days wlll both take together to complete the work?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×