RRB NTPC/ASM/CA/TA Exam > RRB NTPC/ASM/CA/TA Questions > 2M + 5W + 6C does a work in 72 hours while 4M...
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2M + 5W + 6C does a work in 72 hours while 4M + 10C can complete the same work in 90 hours and 3M + 5W can complete the same work in 120 hours, then find in how much time will 5M + 4C complete the work.
- a)150 hours
- b)120 hours
- c)160 hours
- d)180 hours
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
2M + 5W + 6C does a work in 72 hours while 4M + 10C can complete the s...
Given information:
- 2M + 5W + 6C completes work in 72 hours
- 4M + 10C completes work in 90 hours
- 3M + 5W completes work in 120 hours
Calculating individual work rates:
- From the first scenario: (2M + 5W + 6C) completes 1/72 of the work in 1 hour
- From the second scenario: (4M + 10C) completes 1/90 of the work in 1 hour
- From the third scenario: (3M + 5W) completes 1/120 of the work in 1 hour
Calculating work rates per person per hour:
- 1M completes 1/144 of the work in 1 hour
- 1W completes 1/360 of the work in 1 hour
- 1C completes 1/432 of the work in 1 hour
Finding the time taken by 5M + 4C to complete the work:
- Total work rate of 5M + 4C = 5*(1/144) + 4*(1/432) = 5/144 + 1/108 = 11/144
- Therefore, 5M + 4C completes 11/144 of the work in 1 hour
- Time taken by 5M + 4C to complete the work = 144/11 hours ≈ 13.09 hours
Therefore, the correct answer is:
- d) 180 hours
- 2M + 5W + 6C completes work in 72 hours
- 4M + 10C completes work in 90 hours
- 3M + 5W completes work in 120 hours
Calculating individual work rates:
- From the first scenario: (2M + 5W + 6C) completes 1/72 of the work in 1 hour
- From the second scenario: (4M + 10C) completes 1/90 of the work in 1 hour
- From the third scenario: (3M + 5W) completes 1/120 of the work in 1 hour
Calculating work rates per person per hour:
- 1M completes 1/144 of the work in 1 hour
- 1W completes 1/360 of the work in 1 hour
- 1C completes 1/432 of the work in 1 hour
Finding the time taken by 5M + 4C to complete the work:
- Total work rate of 5M + 4C = 5*(1/144) + 4*(1/432) = 5/144 + 1/108 = 11/144
- Therefore, 5M + 4C completes 11/144 of the work in 1 hour
- Time taken by 5M + 4C to complete the work = 144/11 hours ≈ 13.09 hours
Therefore, the correct answer is:
- d) 180 hours
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Community Answer
2M + 5W + 6C does a work in 72 hours while 4M + 10C can complete the s...
Given:
2M + 5W + 6C = 72 hours
4M + 10C = 90 hours
3M + 5W = 120 hours
Formula:
Efficiency = total work/total days
Calculation:
Let total work be x
Total efficiency of 2M + 5W + 6C = x/72 ----(1)
Total efficiency of 4M + 10C = x/90 ----(2)
Total efficiency of 3M + 5W = x/120 ----(3)
Add equation (2) and (3),
4M + 10C + 3M + 5W = (x/90) + (x/120)
⇒ 7M + 5W + 10C =
⇒ 7M + 5W + 10C = 7x/360
Total efficiency of 7M + 5W + 10C = 7x/360 ...(4)
Subtract equation (1) from equation (4),
7M + 5W + 10C – (2M + 5W + 6C) = (7x/360) - (x/72)
⇒ 5M + 4C =
⇒ 5M + 4C = 2x/360
Total efficiency of 5M + 4C = 2x/360
Time taken by 5M + 4C to complete the work = x/(2x/360)
⇒ 360/2 = 180 hours
∴ Time taken by 5M + 4C to complete the work is 180 hours.
2M + 5W + 6C = 72 hours
4M + 10C = 90 hours
3M + 5W = 120 hours
Formula:
Efficiency = total work/total days
Calculation:
Let total work be x
Total efficiency of 2M + 5W + 6C = x/72 ----(1)
Total efficiency of 4M + 10C = x/90 ----(2)
Total efficiency of 3M + 5W = x/120 ----(3)
Add equation (2) and (3),
4M + 10C + 3M + 5W = (x/90) + (x/120)
⇒ 7M + 5W + 10C =
⇒ 7M + 5W + 10C = 7x/360
Total efficiency of 7M + 5W + 10C = 7x/360 ...(4)
Subtract equation (1) from equation (4),
7M + 5W + 10C – (2M + 5W + 6C) = (7x/360) - (x/72)
⇒ 5M + 4C =
⇒ 5M + 4C = 2x/360
Total efficiency of 5M + 4C = 2x/360
Time taken by 5M + 4C to complete the work = x/(2x/360)
⇒ 360/2 = 180 hours
∴ Time taken by 5M + 4C to complete the work is 180 hours.
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2M + 5W + 6C does a work in 72 hours while 4M + 10C can complete the same work in 90 hours and 3M + 5W can complete the same work in 120 hours, then find in how much time will 5M + 4C complete the work.a)150 hoursb)120 hoursc)160 hoursd)180 hoursCorrect answer is option 'D'. Can you explain this answer?
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2M + 5W + 6C does a work in 72 hours while 4M + 10C can complete the same work in 90 hours and 3M + 5W can complete the same work in 120 hours, then find in how much time will 5M + 4C complete the work.a)150 hoursb)120 hoursc)160 hoursd)180 hoursCorrect answer is option 'D'. Can you explain this answer? for RRB NTPC/ASM/CA/TA 2024 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 2M + 5W + 6C does a work in 72 hours while 4M + 10C can complete the same work in 90 hours and 3M + 5W can complete the same work in 120 hours, then find in how much time will 5M + 4C complete the work.a)150 hoursb)120 hoursc)160 hoursd)180 hoursCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for RRB NTPC/ASM/CA/TA 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 2M + 5W + 6C does a work in 72 hours while 4M + 10C can complete the same work in 90 hours and 3M + 5W can complete the same work in 120 hours, then find in how much time will 5M + 4C complete the work.a)150 hoursb)120 hoursc)160 hoursd)180 hoursCorrect answer is option 'D'. Can you explain this answer?.
2M + 5W + 6C does a work in 72 hours while 4M + 10C can complete the same work in 90 hours and 3M + 5W can complete the same work in 120 hours, then find in how much time will 5M + 4C complete the work.a)150 hoursb)120 hoursc)160 hoursd)180 hoursCorrect answer is option 'D'. Can you explain this answer? for RRB NTPC/ASM/CA/TA 2024 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 2M + 5W + 6C does a work in 72 hours while 4M + 10C can complete the same work in 90 hours and 3M + 5W can complete the same work in 120 hours, then find in how much time will 5M + 4C complete the work.a)150 hoursb)120 hoursc)160 hoursd)180 hoursCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for RRB NTPC/ASM/CA/TA 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 2M + 5W + 6C does a work in 72 hours while 4M + 10C can complete the same work in 90 hours and 3M + 5W can complete the same work in 120 hours, then find in how much time will 5M + 4C complete the work.a)150 hoursb)120 hoursc)160 hoursd)180 hoursCorrect answer is option 'D'. Can you explain this answer?.
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2M + 5W + 6C does a work in 72 hours while 4M + 10C can complete the same work in 90 hours and 3M + 5W can complete the same work in 120 hours, then find in how much time will 5M + 4C complete the work.a)150 hoursb)120 hoursc)160 hoursd)180 hoursCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for 2M + 5W + 6C does a work in 72 hours while 4M + 10C can complete the same work in 90 hours and 3M + 5W can complete the same work in 120 hours, then find in how much time will 5M + 4C complete the work.a)150 hoursb)120 hoursc)160 hoursd)180 hoursCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of 2M + 5W + 6C does a work in 72 hours while 4M + 10C can complete the same work in 90 hours and 3M + 5W can complete the same work in 120 hours, then find in how much time will 5M + 4C complete the work.a)150 hoursb)120 hoursc)160 hoursd)180 hoursCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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