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A, B and C can do a piece of work in 15,12,and 20 days respectively. They started the work together, but c left after 2 days. In how many days will the remaining work be completed by A and B.?
Most Upvoted Answer
A, B and C can do a piece of work in 15,12,and 20 days respectively. T...
Solution:
Given, A, B and C can do a piece of work in 15, 12, and 20 days respectively.
Let the total work be 60 units (LCM of 15, 12 and 20)
Hence, A can do 4 units of work per day, B can do 5 units of work per day and C can do 3 units of work per day.
Step 1: Calculation of work done in the first two days
A and B and C worked together for two days. Therefore, the work done in the first two days is:
2 (A + B + C) = 2 (4 + 5 + 3) = 24 units.
Step 2: Calculation of work remaining after two days
The work remaining after two days is:
60 – 24 = 36 units.
Step 3: Calculation of time taken by A and B to complete the remaining work
Now, A and B are left to complete the remaining work of 36 units.
Since A can do 4 units of work per day and B can do 5 units of work per day, their combined rate of work is 4 + 5 = 9 units per day.
Therefore, the time taken by A and B to complete the remaining work is:
Time = Work/Rate = 36/9 = 4 days.
Therefore, A and B will take 4 more days to complete the remaining work.
Hence, the total time taken to complete the work is 2 + 4 = 6 days.
Given, A, B and C can do a piece of work in 15, 12, and 20 days respectively.
Let the total work be 60 units (LCM of 15, 12 and 20)
Hence, A can do 4 units of work per day, B can do 5 units of work per day and C can do 3 units of work per day.
Step 1: Calculation of work done in the first two days
A and B and C worked together for two days. Therefore, the work done in the first two days is:
2 (A + B + C) = 2 (4 + 5 + 3) = 24 units.
Step 2: Calculation of work remaining after two days
The work remaining after two days is:
60 – 24 = 36 units.
Step 3: Calculation of time taken by A and B to complete the remaining work
Now, A and B are left to complete the remaining work of 36 units.
Since A can do 4 units of work per day and B can do 5 units of work per day, their combined rate of work is 4 + 5 = 9 units per day.
Therefore, the time taken by A and B to complete the remaining work is:
Time = Work/Rate = 36/9 = 4 days.
Therefore, A and B will take 4 more days to complete the remaining work.
Hence, the total time taken to complete the work is 2 + 4 = 6 days.
Community Answer
A, B and C can do a piece of work in 15,12,and 20 days respectively. T...
4 days.
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A, B and C can do a piece of work in 15,12,and 20 days respectively. They started the work together, but c left after 2 days. In how many days will the remaining work be completed by A and B.?
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A, B and C can do a piece of work in 15,12,and 20 days respectively. They started the work together, but c left after 2 days. In how many days will the remaining work be completed by A and B.? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about A, B and C can do a piece of work in 15,12,and 20 days respectively. They started the work together, but c left after 2 days. In how many days will the remaining work be completed by A and B.? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A, B and C can do a piece of work in 15,12,and 20 days respectively. They started the work together, but c left after 2 days. In how many days will the remaining work be completed by A and B.?.
A, B and C can do a piece of work in 15,12,and 20 days respectively. They started the work together, but c left after 2 days. In how many days will the remaining work be completed by A and B.? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about A, B and C can do a piece of work in 15,12,and 20 days respectively. They started the work together, but c left after 2 days. In how many days will the remaining work be completed by A and B.? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A, B and C can do a piece of work in 15,12,and 20 days respectively. They started the work together, but c left after 2 days. In how many days will the remaining work be completed by A and B.?.
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