Bissoy.com
Doctors Medicines MCQs Q&A

Motu and Chotu are two painters. They got a contract of painting a house. Motu does 1/4 of work what Chotu does in 1/12 of the time. If they paint together, they take 15 days to complete their task. How much time chotu take to do it alone ? 

Motu and Chotu are two painters. They got a contract of painting a house. Motu does 1/4 of work what Chotu does in 1/12 of the time. If they paint together, they take 15 days to complete their task. How much time chotu take to do it alone ?  Correct Answer 60 days

Given∶

Motu does 1/4 of work what Chotu does in 1/12 of the time.

They take 15 days to complete the task if they paint together.

Formula Used∶

Concept of Linear Equations and Use of Ratio in Time and Work.

Calculation∶

Let Chotu take 'a' days to complete task.

Work done by Chotu in 1 day =1/a 

According to Question,

Motu does 1/4 work in a/12 days

So, Motu does the whole work in 4a/12 = a/3 days

Work done by Motu in one day = 3/a

Also, Work done by Motu and Chotu together in one day = 1/a + 3/a = 4/a

So, Time taken to complete the whole work by Motu and Chotu together = a/4 days

Again. it is given that a/4 = 15

So, a = 15 × 4 = 60 days

∴ Chotu takes 60 days to complete the task.

Related Questions

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: M and N can complete the work in 10 and 20 days respectively. They started doing work together but after 4 days M left the work. In what time N can complete the remaining work? Quantity B: A and B can together complete the work in 12 days. A alone can complete the work in 30 days. If B works for first 4 days alone and then A joins the work, in how many days remaining work will be complete?
A and B together can complete a task in 40 days. B and C together can complete the same task in 50 days. A and C together can complete the same task in 60 days. What is the respective ratio of the number of days taken by A when completing the same task alone to the number of days taken by C when completing the same task alone?
A and B together can complete a task in 20 days. B and C together can complete the same task in 25 days. A and C together can complete the same task in 30 days. What is the respective ratio of the number of days taken by A when completing the same task alone to the number of days taken by C when completing the same task alone?
A can paint a house in 39 days and B can paint the same house in 52 days, with the help of C they can paint the house in 13 days. How much C time will C take to paint the house alone?
Three friends Adam, Eve and Kane who are working together working at different speed where Adam being the slowest and Kane being the Fastest. When Adam and Eve work together they take x days to finish a task. When Eve and Kane work together they take y days to finish a task. One of them, if he worked alone would take thrice as much time as it would take when all three work together. How much time would it take if all three worked together?
12 men can complete a painting work in 8 days. However, 16 women can complete the same painting work in 12 days. 8 men started painting the house. After 6 days of painting, 2 men were replaced by 4 women. Now how many days will they take to complete the remaining painting? 
Given below are two quantities named 1 and 2. Based on the given information, you have to determine the relationship between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers. Quantity 1: P and Q can do a work in 6 days and Q and R can do a work in 60/7 days and P and R can do a work in 20/3 days. If Q and R work for first 2 days and left the work. Find the total time taken by P to complete the remaining work. Quantity 2: A and B can do a work in 8/3 days, B and C can do the same work in 3 days and A and C can do the same work in 24/5 days. In what time C alone can complete the work?
Adil and Biren together can complete a task in 20 days. Biren and Chirag together can complete the same task in 50 days. Adil and Chirag together can complete the same task in 40 days. If the same task was to be done by them alone, what would be the ratio of time taken by Adil alone to Biren alone? A. 11: 9 B. 11 : 3 C. 7 : 9 D. 9 : 11
Parimal and his sister together can paint the walls of their house in 54 days. If only Parimal does this work, he would have taken 81 days. If both started the work of painting together, but Parimal's sister left 9 days before the completion of the work, then how many days did both of them take to paint their house?
There are two person A and B.A alone can complete the whole work in x days and B alone can complete the whole work in y days. Working together they can complete the whole work in 12 day. Which of the following statements is/are true regarding x and y? A) 20 days and 30 days B) 25 days and 300/13 days C) 32 days and 96/5 days D) 40 days and 10 days