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16 Sep 2014, 00:55
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Two engines, operating at their own constant rates, were tested to determine their fuel consumption. If during the test, the first engine consumed 600 grams of fuel, while the second, which worked for two hours less, consumed 384 grams, how much fuel will be required to run the second engine for 5 hours?
(1) The first engine worked for 10 hours during the test.
(2) If the first engine had worked for 2 more hours during the test, it would have consumed 120 grams of fuel more.
(1) The first engine worked for 10 hours during the test.
(2) If the first engine had worked for 2 more hours during the test, it would have consumed 120 grams of fuel more.
16 Sep 2014, 00:55
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Official Solution:
Two engines, operating at their own constant rates, were tested to determine their fuel consumption. If during the test, the first engine consumed 600 grams of fuel, while the second, which worked for two hours less, consumed 384 grams, how much fuel will be required to run the second engine for 5 hours?
(1) The first engine worked for 10 hours during the test.>
From this statement, it follows that the second engine worked for 10 - 2 = 8 hours during the test and consumed 384 grams of fuel. Therefore, in 5 hours, it would consume \(\frac{5}{8}*384 = 240\) grams of fuel. Sufficient.
(2) If the first engine had worked for 2 more hours during the test, it would have consumed 120 grams of fuel more.
From this statement, it follows that the first engine consumes 60 grams of fuel per hour; thus, during the test, it worked for \(\frac{600}{60} = 10\) hours. We have the same information as in the first statement, and thus can solve the same way to conclude that the second engine would require 240 grams of fuel for 5 hours. Sufficient.
Answer: D
Two engines, operating at their own constant rates, were tested to determine their fuel consumption. If during the test, the first engine consumed 600 grams of fuel, while the second, which worked for two hours less, consumed 384 grams, how much fuel will be required to run the second engine for 5 hours?
(1) The first engine worked for 10 hours during the test.>
From this statement, it follows that the second engine worked for 10 - 2 = 8 hours during the test and consumed 384 grams of fuel. Therefore, in 5 hours, it would consume \(\frac{5}{8}*384 = 240\) grams of fuel. Sufficient.
(2) If the first engine had worked for 2 more hours during the test, it would have consumed 120 grams of fuel more.
From this statement, it follows that the first engine consumes 60 grams of fuel per hour; thus, during the test, it worked for \(\frac{600}{60} = 10\) hours. We have the same information as in the first statement, and thus can solve the same way to conclude that the second engine would require 240 grams of fuel for 5 hours. Sufficient.
Answer: D
15 Oct 2023, 15:36
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I have edited the question and the solution by adding more details to enhance its clarity. I hope it is now easier to understand.
