Bissoy.com
Doctors Medicines MCQs Q&A

A piece of work can be completed by a man in 66 days. The same work can be completed by two women together in the same time and the same work can be completed by three kids together in the same time. If 1 man, 1 woman, and 1 kid work together then in how many days the work will be completed?

A piece of work can be completed by a man in 66 days. The same work can be completed by two women together in the same time and the same work can be completed by three kids together in the same time. If 1 man, 1 woman, and 1 kid work together then in how many days the work will be completed? Correct Answer 36

GIVEN:

1 man or 2 women or 3 kids can complete a piece of work in 66 days each.

FORMULA USED:

Time = Work/Efficiency

CALCULATION:

Let the efficiency of man, woman and kid be m, w and k

According to the question,

1m = 2w = 3k

Ratio of efficiencies of men, women and kid is 6 : 3 : 2

Total work = 6 × 66 = 396

Work done be all together in 1 day = 6 + 3 + 2 = 11 units

Required number of days = 396/11 = 36 days

∴ If 1 man, 1 woman, and 1 kid work together then in 36 days the work will be completed.

[ alt="Shortcut trick" src="//storage.googleapis.com/tb-img/production/20/08/Shortcut%20trick.GIF" style="width: 149px; height: 33px;">

Suppose total work is 66 units.

Efficiency of a man = 66/66 = 1

Efficiency of a women = 66/(66 × 2) = 1/2

Efficiency of a kid = 66/(66 × 3) = 1/3

Time in which all of them will complete the work = 66/(1 + 1/2 + 1/3)

⇒ 66/(11 / 6)

⇒ 36 days

∴ If 1 man, 1 woman, and 1 kid work together then in 36 days the work will be completed.

Related Questions

In the following question, two statements are numbered as A and B. On solving these statements, we get quantities A and B respectively. Solve both quantities and choose the correct option. Quantity A: A can do a piece of work in 10 days and B can do the same work in 15 days. They start working together and after 4 days, A left the work. Find in how many days the total work will be completed. Quantity B: P can do a piece of work in 15 days and Q can do the same work in 25 days. They start working together and after 5 days, Q left the work. Find in how many days the remaining work will gets completed.
Choose the correct option from the following Quantity I: If A and B can do a piece of work in 10 days, B and C in 12 days and if all three are together then said work is done in 8 days. In how many days would C and A complete the work if working together? Quantity II: A can do a piece of work in 2/5th of work in 10 days and B can do 1/2 of the same work in 8 days. If both of them are working together then in how many days would the work get completed?
Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers. Quantity A : 10 men and 15 women can complete a piece of work in 15 days while 5men and 10 women can complete the work in 25 days. What part of work a woman can complete in 1 day? Quantity B : 5 women and 10 girls can complete stitching work in 10 days and 7 women and 5 girls can complete this same work in 15 days. What fraction of work remains if 6 girls work alone for 6 days?
A man can do a work in 16 days and a woman can do the same work in 24 days. One man and 3 women started the work. After 4 days the man left the work and the three women continued to complete the work. In how many days the women completed the remaining work?
A railway ticket for a kid costs half of the Basic fare and the reservation charge per ticket for kid is same as for an adult. Ramesh reserved a ticket for himself from Delhi to Jhansi that costs him Rs. 210 and two tickets for his friend, Sunil and his kid that costs him Rs. 320. What is the price of basic fare for the ticket for a kid?
Two men and women are entrusted with a task. The second man needs three hours more to cope up with the job than the second man and the woman would need working together. The first man, working alone, would need as much time as second man and the woman working together. The first man working alone, would spend eight hours less than the double period of the time second man would spend working alone. How much time would the two men and the women need to complete the task if they all asked together?
Each of the question below consists of a question and three statements number I, II and III given below it. You have to decide whether the data provided in the statement are sufficient to answer the question. 8 men and 6 women can complete a piece of work in 21 days. How many days will take for 12 men and 9 women to complete the same work? I. 12 men can complete the work in 21 days. II. 21 women can complete the work in 21 days. III. The amount of work done by a woman is four-sevenths of the work done by a man in one day.
18 men can complete a piece of work in 63 days. 9 women take 189 days to complete the same piece of work. How many days will 4 men, 9 women and 12 children together take to complete the piece of work if 7 children alone can complete the piece of work in 486 days ?
2 men and 3 women together can complete a piece of work in 8 days. 1 man and 2 boys together complete the work in 16 days. 3 women and 2 boys together can complete the work in 12 days. In how many days 2 men, 3 women and 4 boys together can complete the work?
A alone can do a piece of work in 10 days, A and B together can do the same piece of work in 20/3 days. A, B and C together can do the same piece of work in 40/7 days. In how many days can B and C together do the same piece of work?