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Machine X can complete a job in half the time it takes Machine Y to complete the same job, and Machine Z takes 50% longer than Machine X to complete the job. If all three machines always work at their respective, constant rates, what is the ratio of the amount of time it will take Machines X and Z to complete the job to the ratio of the amount of time it will take Machines Y and Z to complete the job?
- a)5 to 1
- b)10 to 7
- c)1 to 5
- d)7 to 10
- e)9 to 10
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Machine X can complete a job in half the time it takes Machine Y to co...
Machine X completes the job at a rate twice as fast as Machine Y. This means the ratio of their rates is 2:1.
Machine Z takes 50% longer than Machine X to complete the job. In terms of time, this means the ratio of the time taken by Machine Z to the time taken by Machine X is 3:2. Therefore, the ratio of their rates is 2:3.
Combining these rates, we have the overall ratio of rates: X:Y:Z = 6:3:4.
To find the ratio of the time it will take Machines X and Z to complete the job compared to the ratio of the time it will take Machines Y and Z, we add the rates of X and Z, and the rates of Y and Z. This gives us the ratios X+Z:Y+Z = 6+4:3+4 = 10:7.
Thus, the ratio of the time it will take Machines X and Z to complete the job compared to the ratio of the time it will take Machines Y and Z is 7:10.
Therefore, the answer is (D) 7 to 10.
This question is part of UPSC exam. View all GMAT courses
Most Upvoted Answer
Machine X can complete a job in half the time it takes Machine Y to co...
Ratio of Time for Machines X and Z vs. Machines Y and Z:
Machine X completes the job in half the time of Machine Y, so if Machine Y takes 2 units of time, then Machine X takes 1 unit of time (since X is twice as fast as Y).
Time taken by Machines:
- Machine X: 1 unit
- Machine Y: 2 units
Machine Z takes 50% longer than Machine X, which means Z takes 1.5 times longer than X. So, if X takes 1 unit of time, Z takes 1.5 units of time.
Time taken by Machines:
- Machine X: 1 unit
- Machine Z: 1.5 units
Calculating Ratios:
Ratio of time taken by Machines X and Z = 1:1.5 = 2:3
Ratio of time taken by Machines Y and Z = 2:1.5 = 4:3
Therefore, the ratio of the time it will take Machines X and Z to complete the job to the ratio of the time it will take Machines Y and Z is 2:3 to 4:3, which simplifies to 7:10. Hence, the correct answer is option D) 7 to 10.
Community Answer
Machine X can complete a job in half the time it takes Machine Y to co...
Machine X completes the job at a rate twice as fast as Machine Y. This means the ratio of their rates is 2:1.
Machine Z takes 50% longer than Machine X to complete the job. In terms of time, this means the ratio of the time taken by Machine Z to the time taken by Machine X is 3:2. Therefore, the ratio of their rates is 2:3.
Combining these rates, we have the overall ratio of rates: X:Y:Z = 6:3:4.
To find the ratio of the time it will take Machines X and Z to complete the job compared to the ratio of the time it will take Machines Y and Z, we add the rates of X and Z, and the rates of Y and Z. This gives us the ratios X+Z:Y+Z = 6+4:3+4 = 10:7.
Thus, the ratio of the time it will take Machines X and Z to complete the job compared to the ratio of the time it will take Machines Y and Z is 7:10.
Therefore, the answer is (D) 7 to 10.
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Machine X can complete a job in half the time it takes Machine Y to complete the same job, and Machine Z takes 50% longer than Machine X to complete the job. If all three machines always work at their respective, constant rates, what is the ratio of the amount of time it will take Machines X and Z to complete the job to the ratio of the amount of time it will take Machines Y and Z to complete the job?a)5 to 1b)10 to 7c)1 to 5d)7 to 10e)9 to 10Correct answer is option 'D'. Can you explain this answer?
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Machine X can complete a job in half the time it takes Machine Y to complete the same job, and Machine Z takes 50% longer than Machine X to complete the job. If all three machines always work at their respective, constant rates, what is the ratio of the amount of time it will take Machines X and Z to complete the job to the ratio of the amount of time it will take Machines Y and Z to complete the job?a)5 to 1b)10 to 7c)1 to 5d)7 to 10e)9 to 10Correct answer is option 'D'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Machine X can complete a job in half the time it takes Machine Y to complete the same job, and Machine Z takes 50% longer than Machine X to complete the job. If all three machines always work at their respective, constant rates, what is the ratio of the amount of time it will take Machines X and Z to complete the job to the ratio of the amount of time it will take Machines Y and Z to complete the job?a)5 to 1b)10 to 7c)1 to 5d)7 to 10e)9 to 10Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Machine X can complete a job in half the time it takes Machine Y to complete the same job, and Machine Z takes 50% longer than Machine X to complete the job. If all three machines always work at their respective, constant rates, what is the ratio of the amount of time it will take Machines X and Z to complete the job to the ratio of the amount of time it will take Machines Y and Z to complete the job?a)5 to 1b)10 to 7c)1 to 5d)7 to 10e)9 to 10Correct answer is option 'D'. Can you explain this answer?.
Machine X can complete a job in half the time it takes Machine Y to complete the same job, and Machine Z takes 50% longer than Machine X to complete the job. If all three machines always work at their respective, constant rates, what is the ratio of the amount of time it will take Machines X and Z to complete the job to the ratio of the amount of time it will take Machines Y and Z to complete the job?a)5 to 1b)10 to 7c)1 to 5d)7 to 10e)9 to 10Correct answer is option 'D'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Machine X can complete a job in half the time it takes Machine Y to complete the same job, and Machine Z takes 50% longer than Machine X to complete the job. If all three machines always work at their respective, constant rates, what is the ratio of the amount of time it will take Machines X and Z to complete the job to the ratio of the amount of time it will take Machines Y and Z to complete the job?a)5 to 1b)10 to 7c)1 to 5d)7 to 10e)9 to 10Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Machine X can complete a job in half the time it takes Machine Y to complete the same job, and Machine Z takes 50% longer than Machine X to complete the job. If all three machines always work at their respective, constant rates, what is the ratio of the amount of time it will take Machines X and Z to complete the job to the ratio of the amount of time it will take Machines Y and Z to complete the job?a)5 to 1b)10 to 7c)1 to 5d)7 to 10e)9 to 10Correct answer is option 'D'. Can you explain this answer?.
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