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03 Jan 2025, 01:30
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D
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Difficulty:
15%
(low)
Question Stats:
83% (01:27) correct
17%
(01:51)
wrong
based on 102
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It takes 10 Type A machines three days to complete a task when they are operated for 12 hours a day. How long will it take 8 Type B machines to complete the same task when they are operated 8 hours a day?
(1) Type B machines are 20% less efficient that Type A machines.
(2) Type B machines take 25% longer to complete the same task than Type A machines.
(1) Type B machines are 20% less efficient that Type A machines.
(2) Type B machines take 25% longer to complete the same task than Type A machines.
03 Jan 2025, 07:18
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Bunuel
10 machines of type A take 3 * 12 = 36 hours to complete a task
=> 1 machine of type A takes 360 hours to complete the task
Statement 1: Type B machines are 20% less efficient i.e. 1 machine of type B = 4/5th of that Type A machines
=> Time taken by 1 machine of type B = 5/4 * time taken by 1 machine of time A (since time is inversely proportional to efficiency for the same work)
=> Time taken by 1 machine of type B = 5/4 * 360 = 450 hours
=> Time taken by 8 machines of type B = 450/8 hours
Since the machines work 8 hours per day, number of days = (450/8)/8 = 450/64 days - Sufficient
Note: We do not need to calculate the value. It is sufficient to understand that since the efficiency ratio of machine A and B is provided, the answer can be determined.
Statement 2: Observe that statement 2 is essentially the same as Statement 1 - Sufficient
Answer D
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