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A can do a certain piece of work in 18 days more than the time taken by A and B together to do the same work. B can do the same work in 8 days more than the time taken by the two to complete the same work. They agree to do the work for total compensation of Rs.18000 and with the help of C complete it in 10 days. How much money will get as his share? (1) Rs.500 (2) Rs.2000 (3) Rs.3000 (4) Rs.4500?
Most Upvoted Answer
A can do a certain piece of work in 18 days more than the time taken b...
Rs. 3000
let both A and B work in x days
A alone = x+18
B alone= x+8
so,
1/x = (1/x+18) +(1/x+8)
after solving ,x= 12
A and B work in 12 days
A in 30 days
B in 20 days
A ,B and C work in 10 days
so C work in 60 days
ratio of work done by A,B,C = 1/3:1/2:1/6
so C got 1/6 of the total share
18000*1/6 =3000
let both A and B work in x days
A alone = x+18
B alone= x+8
so,
1/x = (1/x+18) +(1/x+8)
after solving ,x= 12
A and B work in 12 days
A in 30 days
B in 20 days
A ,B and C work in 10 days
so C work in 60 days
ratio of work done by A,B,C = 1/3:1/2:1/6
so C got 1/6 of the total share
18000*1/6 =3000
Community Answer
A can do a certain piece of work in 18 days more than the time taken b...
Problem Statement:
A can do a certain piece of work in 18 days more than the time taken by A and B together to do the same work. B can do the same work in 8 days more than the time taken by the two to complete the same work. They agree to do the work for total compensation of Rs.18000 and with the help of C complete it in 10 days. How much money will get as his share?
Solution:
Let's assume that A and B together can complete the work in x days.
So, A can complete the work in (x + 18) days.
And, B can complete the work in (x + 8) days.
Now, let's find the work done by A, B, and C in a day.
Work done by A in a day = 1/(x+18)
Work done by B in a day = 1/(x+8)
Work done by A, B, and C in a day = 1/10 (as they complete the work in 10 days)
As A, B, and C work together, their work done in a day will be added up.
So, the total work done by A, B, and C in a day = 1/(x+18) + 1/(x+8) + 1/10
As the total work is completed in 10 days, we can equate the total work done by A, B, and C in a day with the total work to be done.
i.e., (1/(x+18) + 1/(x+8) + 1/10) * 10 = 1
Solving this equation will give us the value of x as 20.
Now, we can find out the work done by A in a day as 1/38 (1/(20+18)).
And, the work done by B in a day as 1/28 (1/(20+8)).
As A and B complete the work in 20 days together, the ratio of work done by A and B in a day will be 2:3 (as A takes 18 more days than A and B together).
Let's assume the total compensation is divided in the ratio of work done by A and B in a day.
So, A will get 2/(2+3) * 18000 = Rs. 7200
And, B will get 3/(2+3) * 18000 = Rs. 10800
Therefore, A will get Rs. 7200 as his share.
A can do a certain piece of work in 18 days more than the time taken by A and B together to do the same work. B can do the same work in 8 days more than the time taken by the two to complete the same work. They agree to do the work for total compensation of Rs.18000 and with the help of C complete it in 10 days. How much money will get as his share?
Solution:
Let's assume that A and B together can complete the work in x days.
So, A can complete the work in (x + 18) days.
And, B can complete the work in (x + 8) days.
Now, let's find the work done by A, B, and C in a day.
Work done by A in a day = 1/(x+18)
Work done by B in a day = 1/(x+8)
Work done by A, B, and C in a day = 1/10 (as they complete the work in 10 days)
As A, B, and C work together, their work done in a day will be added up.
So, the total work done by A, B, and C in a day = 1/(x+18) + 1/(x+8) + 1/10
As the total work is completed in 10 days, we can equate the total work done by A, B, and C in a day with the total work to be done.
i.e., (1/(x+18) + 1/(x+8) + 1/10) * 10 = 1
Solving this equation will give us the value of x as 20.
Now, we can find out the work done by A in a day as 1/38 (1/(20+18)).
And, the work done by B in a day as 1/28 (1/(20+8)).
As A and B complete the work in 20 days together, the ratio of work done by A and B in a day will be 2:3 (as A takes 18 more days than A and B together).
Let's assume the total compensation is divided in the ratio of work done by A and B in a day.
So, A will get 2/(2+3) * 18000 = Rs. 7200
And, B will get 3/(2+3) * 18000 = Rs. 10800
Therefore, A will get Rs. 7200 as his share.
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A can do a certain piece of work in 18 days more than the time taken by A and B together to do the same work. B can do the same work in 8 days more than the time taken by the two to complete the same work. They agree to do the work for total compensation of Rs.18000 and with the help of C complete it in 10 days. How much money will get as his share? (1) Rs.500 (2) Rs.2000 (3) Rs.3000 (4) Rs.4500?
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A can do a certain piece of work in 18 days more than the time taken by A and B together to do the same work. B can do the same work in 8 days more than the time taken by the two to complete the same work. They agree to do the work for total compensation of Rs.18000 and with the help of C complete it in 10 days. How much money will get as his share? (1) Rs.500 (2) Rs.2000 (3) Rs.3000 (4) Rs.4500? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A can do a certain piece of work in 18 days more than the time taken by A and B together to do the same work. B can do the same work in 8 days more than the time taken by the two to complete the same work. They agree to do the work for total compensation of Rs.18000 and with the help of C complete it in 10 days. How much money will get as his share? (1) Rs.500 (2) Rs.2000 (3) Rs.3000 (4) Rs.4500? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A can do a certain piece of work in 18 days more than the time taken by A and B together to do the same work. B can do the same work in 8 days more than the time taken by the two to complete the same work. They agree to do the work for total compensation of Rs.18000 and with the help of C complete it in 10 days. How much money will get as his share? (1) Rs.500 (2) Rs.2000 (3) Rs.3000 (4) Rs.4500?.
A can do a certain piece of work in 18 days more than the time taken by A and B together to do the same work. B can do the same work in 8 days more than the time taken by the two to complete the same work. They agree to do the work for total compensation of Rs.18000 and with the help of C complete it in 10 days. How much money will get as his share? (1) Rs.500 (2) Rs.2000 (3) Rs.3000 (4) Rs.4500? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A can do a certain piece of work in 18 days more than the time taken by A and B together to do the same work. B can do the same work in 8 days more than the time taken by the two to complete the same work. They agree to do the work for total compensation of Rs.18000 and with the help of C complete it in 10 days. How much money will get as his share? (1) Rs.500 (2) Rs.2000 (3) Rs.3000 (4) Rs.4500? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A can do a certain piece of work in 18 days more than the time taken by A and B together to do the same work. B can do the same work in 8 days more than the time taken by the two to complete the same work. They agree to do the work for total compensation of Rs.18000 and with the help of C complete it in 10 days. How much money will get as his share? (1) Rs.500 (2) Rs.2000 (3) Rs.3000 (4) Rs.4500?.
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A can do a certain piece of work in 18 days more than the time taken by A and B together to do the same work. B can do the same work in 8 days more than the time taken by the two to complete the same work. They agree to do the work for total compensation of Rs.18000 and with the help of C complete it in 10 days. How much money will get as his share? (1) Rs.500 (2) Rs.2000 (3) Rs.3000 (4) Rs.4500?, a detailed solution for A can do a certain piece of work in 18 days more than the time taken by A and B together to do the same work. B can do the same work in 8 days more than the time taken by the two to complete the same work. They agree to do the work for total compensation of Rs.18000 and with the help of C complete it in 10 days. How much money will get as his share? (1) Rs.500 (2) Rs.2000 (3) Rs.3000 (4) Rs.4500? has been provided alongside types of A can do a certain piece of work in 18 days more than the time taken by A and B together to do the same work. B can do the same work in 8 days more than the time taken by the two to complete the same work. They agree to do the work for total compensation of Rs.18000 and with the help of C complete it in 10 days. How much money will get as his share? (1) Rs.500 (2) Rs.2000 (3) Rs.3000 (4) Rs.4500? theory, EduRev gives you an
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