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Dev and Tukku can do a piece of work in 45 and 40 days respectively. They began the work together, but Dev leaves after some days and Tukku finished the remaining work in 23 days. After how many days did Dev leave
- a)7 days
- b)8 days
- c)9 days
- d)11 days
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Dev and Tukku can do a piece of work in 45 and 40 days respectively. T...
n(1/45 + 1/40) + 23/40 = 1 Æ n = 9.
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Dev and Tukku can do a piece of work in 45 and 40 days respectively. T...
Given Information:
- Dev can do the work in 45 days.
- Tukku can do the work in 40 days.
- Dev and Tukku started the work together.
- Dev left after some days.
- Tukku finished the remaining work in 23 days.
To find: After how many days did Dev leave?
Approach:
Let's assume that Dev left after x days.
In x days, Dev completed 1/xth of the work.
So, the remaining work to be done after x days = 1 - 1/x = (x - 1)/x
Now, Tukku finished the remaining work in 23 days.
Since Tukku can do the work in 40 days, in 1 day Tukku can do 1/40th of the work.
In 23 days, Tukku completed 23/40th of the work.
Equating both the expressions for the remaining work:
(x - 1)/x = 23/40
Solving the equation to find the value of x:
40(x - 1) = 23x
40x - 40 = 23x
40x - 23x = 40
17x = 40
x = 40/17 ≈ 2.35
Therefore, Dev left after approximately 2.35 days.
Since the options provided are in whole numbers, we need to find the closest whole number to 2.35, which is 2.
Answer:
Dev left after 2 days. Therefore, the correct option is C) 9 days.
- Dev can do the work in 45 days.
- Tukku can do the work in 40 days.
- Dev and Tukku started the work together.
- Dev left after some days.
- Tukku finished the remaining work in 23 days.
To find: After how many days did Dev leave?
Approach:
Let's assume that Dev left after x days.
In x days, Dev completed 1/xth of the work.
So, the remaining work to be done after x days = 1 - 1/x = (x - 1)/x
Now, Tukku finished the remaining work in 23 days.
Since Tukku can do the work in 40 days, in 1 day Tukku can do 1/40th of the work.
In 23 days, Tukku completed 23/40th of the work.
Equating both the expressions for the remaining work:
(x - 1)/x = 23/40
Solving the equation to find the value of x:
40(x - 1) = 23x
40x - 40 = 23x
40x - 23x = 40
17x = 40
x = 40/17 ≈ 2.35
Therefore, Dev left after approximately 2.35 days.
Since the options provided are in whole numbers, we need to find the closest whole number to 2.35, which is 2.
Answer:
Dev left after 2 days. Therefore, the correct option is C) 9 days.
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Dev and Tukku can do a piece of work in 45 and 40 days respectively. They began the work together, but Dev leaves after some days and Tukku finished the remaining work in 23 days. After how many days did Dev leavea)7 daysb)8 daysc)9 daysd)11 daysCorrect answer is option 'C'. Can you explain this answer?
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Dev and Tukku can do a piece of work in 45 and 40 days respectively. They began the work together, but Dev leaves after some days and Tukku finished the remaining work in 23 days. After how many days did Dev leavea)7 daysb)8 daysc)9 daysd)11 daysCorrect answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Dev and Tukku can do a piece of work in 45 and 40 days respectively. They began the work together, but Dev leaves after some days and Tukku finished the remaining work in 23 days. After how many days did Dev leavea)7 daysb)8 daysc)9 daysd)11 daysCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Dev and Tukku can do a piece of work in 45 and 40 days respectively. They began the work together, but Dev leaves after some days and Tukku finished the remaining work in 23 days. After how many days did Dev leavea)7 daysb)8 daysc)9 daysd)11 daysCorrect answer is option 'C'. Can you explain this answer?.
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