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It would take one machine 4 hours to complete a production order and another machine 2 hours to complete the same order. If both machines work simultaneously at their respective constant rates, the time taken to complete the same order is __________ hours.
- a)2/3
- b)3/4
- c)4/3
- d)7/3
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
It would take one machine 4 hours to complete a production order and ...
Let t be the time taken by the machines when they work simultaneously.
View all questions of this test
∴ 1 / t = 1 / 4 + ½
∴ 1 / t = 3 / 4
∴ t = 4 / 3
Most Upvoted Answer
It would take one machine 4 hours to complete a production order and ...
Given:
- One machine takes 4 hours to complete the production order.
- Another machine takes 2 hours to complete the same order.
To find:
- The time taken to complete the same order when both machines work simultaneously at their respective constant rates.
Approach:
- Let's assume the total work required to complete the order is 1 unit.
- We need to find the time taken to complete 1 unit of work when both machines work simultaneously.
- To do this, we can calculate the rate at which each machine works and then combine their rates to find the overall rate at which the work is being done.
- Finally, we can use the overall rate to calculate the time taken to complete 1 unit of work.
Calculation:
- Let's assume the rate at which the first machine works is R1 units per hour.
- Since it takes the first machine 4 hours to complete the order, we can write the equation: R1 * 4 = 1.
- Solving this equation, we get R1 = 1/4 units per hour.
- Similarly, let's assume the rate at which the second machine works is R2 units per hour.
- Since it takes the second machine 2 hours to complete the order, we can write the equation: R2 * 2 = 1.
- Solving this equation, we get R2 = 1/2 units per hour.
Combining the rates:
- When both machines work simultaneously, their rates of work add up.
- So, the overall rate at which the work is being done is R1 + R2 = 1/4 + 1/2 = 3/4 units per hour.
Calculating the time:
- We know that Time = Work / Rate.
- Substituting the values, we get Time = 1 / (3/4) = 4/3 hours.
Conclusion:
- The time taken to complete the same order when both machines work simultaneously at their respective constant rates is 4/3 hours.
- Therefore, the correct answer is option C) 4/3.
- One machine takes 4 hours to complete the production order.
- Another machine takes 2 hours to complete the same order.
To find:
- The time taken to complete the same order when both machines work simultaneously at their respective constant rates.
Approach:
- Let's assume the total work required to complete the order is 1 unit.
- We need to find the time taken to complete 1 unit of work when both machines work simultaneously.
- To do this, we can calculate the rate at which each machine works and then combine their rates to find the overall rate at which the work is being done.
- Finally, we can use the overall rate to calculate the time taken to complete 1 unit of work.
Calculation:
- Let's assume the rate at which the first machine works is R1 units per hour.
- Since it takes the first machine 4 hours to complete the order, we can write the equation: R1 * 4 = 1.
- Solving this equation, we get R1 = 1/4 units per hour.
- Similarly, let's assume the rate at which the second machine works is R2 units per hour.
- Since it takes the second machine 2 hours to complete the order, we can write the equation: R2 * 2 = 1.
- Solving this equation, we get R2 = 1/2 units per hour.
Combining the rates:
- When both machines work simultaneously, their rates of work add up.
- So, the overall rate at which the work is being done is R1 + R2 = 1/4 + 1/2 = 3/4 units per hour.
Calculating the time:
- We know that Time = Work / Rate.
- Substituting the values, we get Time = 1 / (3/4) = 4/3 hours.
Conclusion:
- The time taken to complete the same order when both machines work simultaneously at their respective constant rates is 4/3 hours.
- Therefore, the correct answer is option C) 4/3.
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It would take one machine 4 hours to complete a production order and another machine 2 hours to complete the same order. If both machines work simultaneously at their respective constant rates, the time taken to complete the same order is __________ hours.a)2/3b)3/4c)4/3d)7/3Correct answer is option 'C'. Can you explain this answer?
Question Description
It would take one machine 4 hours to complete a production order and another machine 2 hours to complete the same order. If both machines work simultaneously at their respective constant rates, the time taken to complete the same order is __________ hours.a)2/3b)3/4c)4/3d)7/3Correct answer is option 'C'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about It would take one machine 4 hours to complete a production order and another machine 2 hours to complete the same order. If both machines work simultaneously at their respective constant rates, the time taken to complete the same order is __________ hours.a)2/3b)3/4c)4/3d)7/3Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for It would take one machine 4 hours to complete a production order and another machine 2 hours to complete the same order. If both machines work simultaneously at their respective constant rates, the time taken to complete the same order is __________ hours.a)2/3b)3/4c)4/3d)7/3Correct answer is option 'C'. Can you explain this answer?.
It would take one machine 4 hours to complete a production order and another machine 2 hours to complete the same order. If both machines work simultaneously at their respective constant rates, the time taken to complete the same order is __________ hours.a)2/3b)3/4c)4/3d)7/3Correct answer is option 'C'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about It would take one machine 4 hours to complete a production order and another machine 2 hours to complete the same order. If both machines work simultaneously at their respective constant rates, the time taken to complete the same order is __________ hours.a)2/3b)3/4c)4/3d)7/3Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for It would take one machine 4 hours to complete a production order and another machine 2 hours to complete the same order. If both machines work simultaneously at their respective constant rates, the time taken to complete the same order is __________ hours.a)2/3b)3/4c)4/3d)7/3Correct answer is option 'C'. Can you explain this answer?.
Solutions for It would take one machine 4 hours to complete a production order and another machine 2 hours to complete the same order. If both machines work simultaneously at their respective constant rates, the time taken to complete the same order is __________ hours.a)2/3b)3/4c)4/3d)7/3Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
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