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Apurva can do a piece of work in 12 days. Apurva and Amit completed the work together and were paid Rs. 54 and Rs. 81 respectively. How many days must they have taken to complete the work together?
- a)4 days
- b)4.5 days
- c)4.8 days
- d)5 days
Correct answer is option 'C'. Can you explain this answer?
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Apurva can do a piece of work in 12 days. Apurva and Amit completed t...
Payment ratio = 54:81
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days work = 1/12 : 1/x
54 : 81 = 1/12 : 1/x
together they will take = (12 x 8)/(12 + 8) = 4.8 days
Most Upvoted Answer
Apurva can do a piece of work in 12 days. Apurva and Amit completed t...
Given:
Apurva can do a piece of work in 12 days.
Apurva and Amit completed the work together and were paid Rs. 54 and Rs. 81 respectively.
To find: How many days must they have taken to complete the work together?
Solution:
Let's assume the total work is 1 unit.
So, Apurva can do 1/12 of the work in a day.
Let's say Amit can do 1/x of the work in a day.
When they work together, the work done in a day is (1/12 + 1/x).
We know that they were paid Rs. 54 and Rs. 81 respectively.
Let's say they worked together for 'd' days.
So, the work done by Apurva in 'd' days is (d/12) and the work done by Amit in 'd' days is (d/x).
We know that the total work is 1 unit.
So, (d/12 + d/x) = 1
Simplifying this equation, we get
(x + 12) / 12x = 1/d
We also know that they were paid Rs. 54 and Rs. 81 respectively.
Let's say they worked together for 't' days.
So, the amount of work done by Apurva in 't' days is (t/12) and the amount of work done by Amit in 't' days is (t/x).
We know that they were paid Rs. 54 and Rs. 81 respectively.
So, (t/12) / (t/x) = 54/81
Simplifying this equation, we get
x = 4
Substituting the value of x in the equation (x + 12) / 12x = 1/d, we get
d = 4.8 days
Therefore, they must have taken 4.8 days to complete the work together.
Hence, the correct option is (c) 4.8 days.
Apurva can do a piece of work in 12 days.
Apurva and Amit completed the work together and were paid Rs. 54 and Rs. 81 respectively.
To find: How many days must they have taken to complete the work together?
Solution:
Let's assume the total work is 1 unit.
So, Apurva can do 1/12 of the work in a day.
Let's say Amit can do 1/x of the work in a day.
When they work together, the work done in a day is (1/12 + 1/x).
We know that they were paid Rs. 54 and Rs. 81 respectively.
Let's say they worked together for 'd' days.
So, the work done by Apurva in 'd' days is (d/12) and the work done by Amit in 'd' days is (d/x).
We know that the total work is 1 unit.
So, (d/12 + d/x) = 1
Simplifying this equation, we get
(x + 12) / 12x = 1/d
We also know that they were paid Rs. 54 and Rs. 81 respectively.
Let's say they worked together for 't' days.
So, the amount of work done by Apurva in 't' days is (t/12) and the amount of work done by Amit in 't' days is (t/x).
We know that they were paid Rs. 54 and Rs. 81 respectively.
So, (t/12) / (t/x) = 54/81
Simplifying this equation, we get
x = 4
Substituting the value of x in the equation (x + 12) / 12x = 1/d, we get
d = 4.8 days
Therefore, they must have taken 4.8 days to complete the work together.
Hence, the correct option is (c) 4.8 days.
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Apurva can do a piece of work in 12 days. Apurva and Amit completed the work together and were paid Rs. 54 and Rs. 81 respectively. How many days must they have taken to complete the work together?a)4 daysb)4.5 daysc)4.8 daysd)5 daysCorrect answer is option 'C'. Can you explain this answer?
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Apurva can do a piece of work in 12 days. Apurva and Amit completed the work together and were paid Rs. 54 and Rs. 81 respectively. How many days must they have taken to complete the work together?a)4 daysb)4.5 daysc)4.8 daysd)5 daysCorrect answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Apurva can do a piece of work in 12 days. Apurva and Amit completed the work together and were paid Rs. 54 and Rs. 81 respectively. How many days must they have taken to complete the work together?a)4 daysb)4.5 daysc)4.8 daysd)5 daysCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Apurva can do a piece of work in 12 days. Apurva and Amit completed the work together and were paid Rs. 54 and Rs. 81 respectively. How many days must they have taken to complete the work together?a)4 daysb)4.5 daysc)4.8 daysd)5 daysCorrect answer is option 'C'. Can you explain this answer?.
Apurva can do a piece of work in 12 days. Apurva and Amit completed the work together and were paid Rs. 54 and Rs. 81 respectively. How many days must they have taken to complete the work together?a)4 daysb)4.5 daysc)4.8 daysd)5 daysCorrect answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Apurva can do a piece of work in 12 days. Apurva and Amit completed the work together and were paid Rs. 54 and Rs. 81 respectively. How many days must they have taken to complete the work together?a)4 daysb)4.5 daysc)4.8 daysd)5 daysCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Apurva can do a piece of work in 12 days. Apurva and Amit completed the work together and were paid Rs. 54 and Rs. 81 respectively. How many days must they have taken to complete the work together?a)4 daysb)4.5 daysc)4.8 daysd)5 daysCorrect answer is option 'C'. Can you explain this answer?.
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