Curioustab

If the work done by 8 men and 4 boys in 1 days is 7 times the work done by 1 man and 1 boy, then compare the work done by 1 man and 1 boy in 1 days?

Q: If the work done by 8 men and 4 boys in 1 days is 7 times the work done by 1 man and 1 boy, then compare the work done by 1 man and 1 boy in 1 days?

Here, a1 = 8, b1 = 4, a2 = 1, b2 = 1 and n = 7 ∴ Work done by 1 man/Work done by 1 boy = (nb2 - b1)/(a1 - na2) = (7 x 1 - 4) / (8 - 7 x 1) = 3

Correct Answer: 3

Explanation:

Here, a₁ = 8, b₁ = 4, a₂ = 1, b₂ = 1 and n = 7
∴ Work done by 1 man/Work done by 1 boy = (nb₂ - b₁)/(a₁ - na₂)
= (7 x 1 - 4) / (8 - 7 x 1)
= 3

← Previous Question Next Question→

More Questions from Time and Work

A and B can complete a work in 12 days and 18 days, respectively. A begins to do the work and they work alternately one at a time for 1 days each. The whole work will be completed in how many days?
A can build up a structure in 8 days and B can break it in 3 days. A has worked for 4 days and then B joined to work with A for another 2 days only. In how many days will A alone build up the remaining part of structure?
Mr. Prashant has to build a wall 1000 meters long in 50 days. He employs 56 men but at the end of 27 days finds that only 448 meters are built. How many men must be employed so that the work may be finished in time?
Mr. Modi can copy 40 pages in 10 minutes, Mr. Xerox and Mr. Modi both working together can copy 250 In 25 minutes. In how many minutes Mr. Xerox can copy 36 pages?
25 men and 15 women can complete a piece of work in 12 days. All of them start working together and after working for 8 days the women stopped working. 25 men complete the remaining work in 6 days. how many days will it take for completing the entire job if only 15 women are put on the job?
A can do a piece of work in 12 days, B can do the same work in 8 days and c can do the same job in 4 / 5 th time required by both A and B. A and B work together for 3 days, then C complete days did C work?
A completes a work in 15 days. B complete the same work in 20 days. A started working alone after 1 days B joined him. How many day will they now take together to complete the remaining work?
A can do a piece of work in 10 days and B can do the same piece of work in 20 days. They start the work together but after 5 days A leaves off, B will do the remaining piece of work in?
Twelve men can complete a work in 8 days. Three days after they started the work, 3 more men joined them. In how, many days will all of them together complete the remaining work
A can complete a job in 9 days, B in 10 days and C in 15 days. B and C start the work and are forced to leave after 2 days. The time taken to complete the remaining work is?

Discussion & Comments

No comments yet. Be the first to comment!

Join Discussion