CAT 2019 Question Paper | Quants Slot 1

CAT Questions

Another question from Time & Distance in CAT 2019. As stated in previous questions in this paper, good fundamentals along with adequate practice from CAT previous year paper is a sure shot way to master this topic.

Question 22 : One can use three different transports which move at 10, 20, and 30 kmph, respectively. To reach from A to B, Amal took each mode of transport 1/3 of his total journey time, while Bimal took each mode of transport 1/3 of the total distance. The percentage by which Bimal's travel time exceeds Amal's travel time is nearest to

1. 22
2. 19
3. 21
4. 20

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Video Explanation

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Explanatory Answer

Let the distance be = 60 Kms.
So, Bimal travels a distance of 20Kms in each mode and Amal travels 10, 20 and 30 Kms respectively in 1 hour each
Time taken by Bimal = Time taken to travel 20 kms in 10 Kmph + Time taken to travel 20 kms in 20 Kmph + Time taken to travel 20 kms in 30 Kmph
Time taken by Bimal = 2 + 1 + hours = 3 + hours
Extra time taken by Bimal = hour
Percentage increase in time = x 100 = x 100 = 22
So, Percentage increase in time = 22

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The question is "One can use three different transports which move at 10, 20, and 30 kmph, respectively. To reach from A to B, Amal took each mode of transport 1/3 of his total journey time, while Bimal took each mode of transport 1/3 of the total distance. The percentage by which Bimal's travel time exceeds Amal's travel time is nearest to "

Hence, the answer is 22

Choice A is the correct answer.

 

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