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22 Apr 2022, 08:45
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
34% (02:52) correct
66%
(02:59)
wrong
based on 80
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An automated manufacturing plant uses robots to manufacture products. A generation-I robot working alone can manufacture a product in 30 hours whereas a generation-II robot working alone can manufacture the same product in 20 hours. If the manager of the plant wants the product manufacturing time to be greater than equal to 5 hours with at least 1 robot each of both generations working together, how many possible combinations of the number of robots of each generation is possible?
A. 4
B. 5
C. 6
D. 7
E. 8
Are You Up For the Challenge: 700 Level Questions
A. 4
B. 5
C. 6
D. 7
E. 8
Are You Up For the Challenge: 700 Level Questions
09 May 2022, 09:49
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Bunuel
Let there be x number of Gen I and y number of Gen II robots used.
x and y will be positive integers. (Atleast 1 robot each of both generations to be used)
1 Gen I robot takes 30 hr to manufacture the product.
Parts of product manufactured in 1 hr = 1/30
x Gen I robot will manufacture x/30 parts in 1 hr
Similarly y Gen II robots will manufacture y/20 parts in 1 hr.
x Gen I and y Gen II robots will manufacture x/30 + y/20 robots in 1 hr which is equal to (3x + 2y)/60
Manufacturing time has to be greater than or equal to 5 hr
3x + 2y <= 12
When x = 1, y can take 4 values (1 to 4)
When x = 2, y can take 3 values (1 to 3)
When x = 3, y can take only 1 value (1)
Total 8 combinations are there
Option E
samarpan.g28
20 Mar 2024, 06:53
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