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J, K and L together can do a piece of work in 16 days and K and L together can do the same work in 20 days. If J takes two times as much time as K, then find the time that L take to complete the work alone.
एक साथ J, K और L किसी काम को 16 दिनों में कर सकते हैं तथा एक साथ K और L समान काम को 20 दिनों में कर सकते हैं। यदि J, K की तुलना में दोगुना समय लेता है, तो अकेले L द्वारा काम को पूरा करने में कितना समय लगेगा?
  • a)
    20 days
    20 दिन
  • b)
    40 days
    40 दिन
  • c)
    30 days
    30 दिन
  • d)
    25 days
    25 दिन
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
J, K and L together can do a piece of work in 16 days and K and L toge...
Total work = LCM of 16 and 20 = 80 units
Efficiency of J, K and L together = 80/16 = 5 units/day
Efficiency of K and L together = 80/20 = 4 units/day
Efficiency of J = 5 - 4 = 1 unit/day
Efficiency of K = 2 units/day
Efficiency of L = 4 - 2 = 2 units/days
Time taken by L = 80/2 = 40 days
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Most Upvoted Answer
J, K and L together can do a piece of work in 16 days and K and L toge...
Understanding the Problem
To solve the problem, let's denote the time taken by K to complete the work alone as 'x' days. According to the information given:
- J takes 2 times as long as K: J = 2x
- The combined work rate of J, K, and L is such that they complete the work in 16 days.
- The combined work rate of K and L is such that they complete the work in 20 days.
Work Rates Calculation
- The work rate of J, K, and L together:
- Work done in 1 day = 1/16
- The work rate of K and L together:
- Work done in 1 day = 1/20
Using the work rates:
1. Combined work rate of J, K, L:
1/(2x) + 1/x + 1/L = 1/16
2. Combined work rate of K and L:
1/x + 1/L = 1/20
Setting Up Equations
From the second equation:
1. 1/x + 1/L = 1/20
Rearranging gives us:
1/L = 1/20 - 1/x (Equation 1)
Substituting Equation 1 into the first equation, we get:
1/(2x) + 1/x + (1/20 - 1/x) = 1/16
This simplifies to:
1/(2x) + 1/20 = 1/16
Finding 'x' and 'L'
Now, we can solve for 'x':
1/(2x) = 1/16 - 1/20
Finding a common denominator (80):
1/(2x) = (5 - 4)/80 = 1/80
=> 2x = 80
=> x = 40 days (K's time)
Now substituting 'x' back to find L:
Using Equation 1:
1/L = 1/20 - 1/40
=> 1/L = (2 - 1)/40 = 1/40
=> L = 40 days
Conclusion
Thus, the time L takes to complete the work alone is 40 days. The correct answer is option b) 40 days.
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J, K and L together can do a piece of work in 16 days and K and L together can do the same work in 20 days. If J takes two times as much time as K, then find the time that L take to complete the work alone.एक साथ J, K और L किसी काम को 16 दिनों में कर सकते हैं तथा एक साथ K और L समान काम को 20 दिनों में कर सकते हैं। यदि J, K की तुलना में दोगुना समय लेता है, तो अकेले L द्वारा काम को पूरा करने में कितना समय लगेगा?a)20 days20 दिनb)40 days40 दिनc)30 days30 दिनd)25 days25 दिनCorrect answer is option 'D'. Can you explain this answer?
Question Description
J, K and L together can do a piece of work in 16 days and K and L together can do the same work in 20 days. If J takes two times as much time as K, then find the time that L take to complete the work alone.एक साथ J, K और L किसी काम को 16 दिनों में कर सकते हैं तथा एक साथ K और L समान काम को 20 दिनों में कर सकते हैं। यदि J, K की तुलना में दोगुना समय लेता है, तो अकेले L द्वारा काम को पूरा करने में कितना समय लगेगा?a)20 days20 दिनb)40 days40 दिनc)30 days30 दिनd)25 days25 दिनCorrect answer is option 'D'. Can you explain this answer? for RRB NTPC/ASM/CA/TA 2025 is part of RRB NTPC/ASM/CA/TA preparation. The Question and answers have been prepared according to the RRB NTPC/ASM/CA/TA exam syllabus. Information about J, K and L together can do a piece of work in 16 days and K and L together can do the same work in 20 days. If J takes two times as much time as K, then find the time that L take to complete the work alone.एक साथ J, K और L किसी काम को 16 दिनों में कर सकते हैं तथा एक साथ K और L समान काम को 20 दिनों में कर सकते हैं। यदि J, K की तुलना में दोगुना समय लेता है, तो अकेले L द्वारा काम को पूरा करने में कितना समय लगेगा?a)20 days20 दिनb)40 days40 दिनc)30 days30 दिनd)25 days25 दिनCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for RRB NTPC/ASM/CA/TA 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for J, K and L together can do a piece of work in 16 days and K and L together can do the same work in 20 days. If J takes two times as much time as K, then find the time that L take to complete the work alone.एक साथ J, K और L किसी काम को 16 दिनों में कर सकते हैं तथा एक साथ K और L समान काम को 20 दिनों में कर सकते हैं। यदि J, K की तुलना में दोगुना समय लेता है, तो अकेले L द्वारा काम को पूरा करने में कितना समय लगेगा?a)20 days20 दिनb)40 days40 दिनc)30 days30 दिनd)25 days25 दिनCorrect answer is option 'D'. Can you explain this answer?.
Solutions for J, K and L together can do a piece of work in 16 days and K and L together can do the same work in 20 days. If J takes two times as much time as K, then find the time that L take to complete the work alone.एक साथ J, K और L किसी काम को 16 दिनों में कर सकते हैं तथा एक साथ K और L समान काम को 20 दिनों में कर सकते हैं। यदि J, K की तुलना में दोगुना समय लेता है, तो अकेले L द्वारा काम को पूरा करने में कितना समय लगेगा?a)20 days20 दिनb)40 days40 दिनc)30 days30 दिनd)25 days25 दिनCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for RRB NTPC/ASM/CA/TA. Download more important topics, notes, lectures and mock test series for RRB NTPC/ASM/CA/TA Exam by signing up for free.
Here you can find the meaning of J, K and L together can do a piece of work in 16 days and K and L together can do the same work in 20 days. If J takes two times as much time as K, then find the time that L take to complete the work alone.एक साथ J, K और L किसी काम को 16 दिनों में कर सकते हैं तथा एक साथ K और L समान काम को 20 दिनों में कर सकते हैं। यदि J, K की तुलना में दोगुना समय लेता है, तो अकेले L द्वारा काम को पूरा करने में कितना समय लगेगा?a)20 days20 दिनb)40 days40 दिनc)30 days30 दिनd)25 days25 दिनCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of J, K and L together can do a piece of work in 16 days and K and L together can do the same work in 20 days. If J takes two times as much time as K, then find the time that L take to complete the work alone.एक साथ J, K और L किसी काम को 16 दिनों में कर सकते हैं तथा एक साथ K और L समान काम को 20 दिनों में कर सकते हैं। यदि J, K की तुलना में दोगुना समय लेता है, तो अकेले L द्वारा काम को पूरा करने में कितना समय लगेगा?a)20 days20 दिनb)40 days40 दिनc)30 days30 दिनd)25 days25 दिनCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for J, K and L together can do a piece of work in 16 days and K and L together can do the same work in 20 days. If J takes two times as much time as K, then find the time that L take to complete the work alone.एक साथ J, K और L किसी काम को 16 दिनों में कर सकते हैं तथा एक साथ K और L समान काम को 20 दिनों में कर सकते हैं। यदि J, K की तुलना में दोगुना समय लेता है, तो अकेले L द्वारा काम को पूरा करने में कितना समय लगेगा?a)20 days20 दिनb)40 days40 दिनc)30 days30 दिनd)25 days25 दिनCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of J, K and L together can do a piece of work in 16 days and K and L together can do the same work in 20 days. If J takes two times as much time as K, then find the time that L take to complete the work alone.एक साथ J, K और L किसी काम को 16 दिनों में कर सकते हैं तथा एक साथ K और L समान काम को 20 दिनों में कर सकते हैं। यदि J, K की तुलना में दोगुना समय लेता है, तो अकेले L द्वारा काम को पूरा करने में कितना समय लगेगा?a)20 days20 दिनb)40 days40 दिनc)30 days30 दिनd)25 days25 दिनCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice J, K and L together can do a piece of work in 16 days and K and L together can do the same work in 20 days. If J takes two times as much time as K, then find the time that L take to complete the work alone.एक साथ J, K और L किसी काम को 16 दिनों में कर सकते हैं तथा एक साथ K और L समान काम को 20 दिनों में कर सकते हैं। यदि J, K की तुलना में दोगुना समय लेता है, तो अकेले L द्वारा काम को पूरा करने में कितना समय लगेगा?a)20 days20 दिनb)40 days40 दिनc)30 days30 दिनd)25 days25 दिनCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice RRB NTPC/ASM/CA/TA tests.
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