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Kritisood
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Kala, Lata and Mata were working on a college project. The amount of t Updated on: 19 May 2020, 03:41
Originally posted by Kritisood on 22 Apr 2020, 08:16.
Last edited by Kritisood on 19 May 2020, 03:41, edited 1 time in total.
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C
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Question Stats:

86% (02:02) correct 14% (00:58) wrong based on 51 sessions

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Kala, Lata and Mata were working on a college project. The amount of time that Kala. Lata and Mata worked on the project were in the ratio 2: 3: 5. The total time to complete the task was more than 60 hours but less than 90 hours. If the total number of hours taken to complete the project is a multiple of 10, then which of the following could be the difference in the time taken by Kala and Mata?

A. 12
B. 15
C. 24
D. 27
E. 30
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C
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Kala, Lata and Mata were working on a college project. The amount of t 23 Apr 2020, 06:07
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Kritisood
Kala, Lata and Mata were working on a college project. The amount of time that Kala. Lata and Mata worked on the project were in the ratio 2: 3: 5. The total time to complete the task was more than 60 hours but less than 90 hours. If the total number of hours taken to complete the project is a multiple of 10, then which of the following could be the difference in the time taken by Kala and Mata?

A. 12
B. 15
C. 24
D. 27
E. 30

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Even for easier questions like these; I'm messing up cus I'm not reading properly. Any tips?
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Solution:


    • Ratio of time taken by Kala, Lata and Mata = 2:3:5
Let 2x, 3x, and 5x be the amount of time taken by Kala, Lata, and Mata respectively.
    • We need to find the possible value of 5x-2x = 3x
    • Total time is between 60 and 90 hours and is a multiple of 10
      o Possible values of total time are 70 hrs and 80 hrs
      o If total time is 70 hours, then 5x+3x+2x = 70
         x =7, and 3x = 21
      o If total time is 80 hours, then 5x+3x+2x = 80
         x = 8, and 3x = 24
    • 21 and 24 are the possible values of 3x.
Hence, the correct answer is Option C.
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Kala, Lata and Mata were working on a college project. The amount of t 27 Apr 2020, 04:13
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Kritisood
Kala, Lata and Mata were working on a college project. The amount of time that Kala. Lata and Mata worked on the project were in the ratio 2: 3: 5. The total time to complete the task was more than 60 hours but less than 90 hours. If the total number of hours taken to complete the project is a multiple of 10, then which of the following could be the difference in the time taken by Kala and Mata?

A. 12
B. 15
C. 24
D. 27
E. 30

Show more
We can let 2x, 3x, and 5x be the number of hours taken by Kala, Lata, and Mata, respectively, on the project. So the difference in the time taken by Kala and Mata is 5x - 2x = 3x. Furthermore, we see that the total number of hours spent by the 3 people is 10x. Since we are given that the total number of hours taken to complete the project is a multiple of 10, the total time is 70 or 80 hours (since it must also be greater than 60 but less than 90).

If the total time is 70, then x is 7, and 3x would be 21, which is not an answer choice.
If the total time is 80, then x is 8, and 3x would be 24, which is an answer choice.

Answer: C
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