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Shruti and Krishna left Delhi for Noida at the same time. While Shruti was driving her car, Krishna, an environmentalist by profession, was traveling on his bicycle. Having reached Noida, Shruti turned back and met Krishna an hour after they started. Krishna continued his journey to Noida after the meeting, while Shruti turned back and also headed for Noida. Having reached Noida, Shruti again turned back and met Krishna 30 minutes after their rst meeting. The time taken by Krishna to cover the distance between Delhi and Noida is
  • a)
    2 hours
  • b)
    2.5 hours
  • c)
    3 hours
  • d)
    None of the above
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Shruti and Krishna left Delhi for Noida at the same time. While Shruti...
Let the distance between Delhi and Noida is X km and Krishna's speed is d km/hr
When they met for the rst time, Distance covered by Krishna = d km
 Distance covered by Shruti = 2X-d km
So the ratio of speeds of Shruti and Krishna is 2X - d : d     ...(1)
Between 1st and 2nd meeting,   Distance covered by Krishna = d/2 km 
So distance covered by Shruti will be  = (X-d)+(X-3d/2)= 2X-5d/2
So the ratio of speeds of Shruti and Krishna in this case will be 2X-5d/2 : d/2  ..(2)
By equating (1) and (2)
Therefore the distance between Delhi and Noida is 2d and Krishna will take 2 hours to cover that distance with speed of d km/hr.
 
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Most Upvoted Answer
Shruti and Krishna left Delhi for Noida at the same time. While Shruti...
Solution:

Let's assume the distance between Delhi and Noida is 'd' km.

Let Shruti's speed be 's' km/hr and Krishna's speed be 'k' km/hr.

Let's also assume that Shruti and Krishna meet 'x' km away from Delhi.

First Meeting:
Shruti travels 'x' km and meets Krishna after 1 hour of starting.
Krishna also travels 'x' km in the same time.
Therefore, the total distance covered by both of them = 2x km.

Second Meeting:
After the first meeting, Shruti turns back and covers 'x' km to reach Delhi.
Krishna continues his journey and covers the remaining distance of 'd - x' km to reach Noida.
After reaching Noida, Shruti turns back again and starts covering the distance towards Noida.
After 30 minutes of travel, she meets Krishna again.
In 30 minutes, Shruti covers (s/2) km as her speed is halved.
Krishna covers (k/2) km in the same time.
Therefore, the total distance covered by both of them = (d - x) + (s/2) + (k/2) km.

Equating both the distances covered by both of them, we get:
2x = (d - x) + (s/2) + (k/2)

Solving this equation, we get:
x = (d/3)

Substituting the value of 'x' in the above equation, we get:
d/3 = (2d/3) + (s/2) + (k/2)

Solving this equation, we get:
d = 2k

Therefore, time taken by Krishna to cover the distance between Delhi and Noida = d/k = 2k/k = 2 hours.

Hence, the correct answer is option A.
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Community Answer
Shruti and Krishna left Delhi for Noida at the same time. While Shruti...
2 hours
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Shruti and Krishna left Delhi for Noida at the same time. While Shruti was driving her car, Krishna, an environmentalist by profession, was traveling on his bicycle. Having reached Noida, Shruti turned back and met Krishna an hour after they started. Krishna continued his journey to Noida after the meeting, while Shruti turned back and also headed for Noida. Having reached Noida, Shruti again turned back and met Krishna 30 minutes after their rst meeting. The time taken by Krishna to cover the distance between Delhi and Noida isa)2 hoursb)2.5 hoursc)3 hoursd)None of the aboveCorrect answer is option 'A'. Can you explain this answer?
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Shruti and Krishna left Delhi for Noida at the same time. While Shruti was driving her car, Krishna, an environmentalist by profession, was traveling on his bicycle. Having reached Noida, Shruti turned back and met Krishna an hour after they started. Krishna continued his journey to Noida after the meeting, while Shruti turned back and also headed for Noida. Having reached Noida, Shruti again turned back and met Krishna 30 minutes after their rst meeting. The time taken by Krishna to cover the distance between Delhi and Noida isa)2 hoursb)2.5 hoursc)3 hoursd)None of the aboveCorrect answer is option 'A'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Shruti and Krishna left Delhi for Noida at the same time. While Shruti was driving her car, Krishna, an environmentalist by profession, was traveling on his bicycle. Having reached Noida, Shruti turned back and met Krishna an hour after they started. Krishna continued his journey to Noida after the meeting, while Shruti turned back and also headed for Noida. Having reached Noida, Shruti again turned back and met Krishna 30 minutes after their rst meeting. The time taken by Krishna to cover the distance between Delhi and Noida isa)2 hoursb)2.5 hoursc)3 hoursd)None of the aboveCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Shruti and Krishna left Delhi for Noida at the same time. While Shruti was driving her car, Krishna, an environmentalist by profession, was traveling on his bicycle. Having reached Noida, Shruti turned back and met Krishna an hour after they started. Krishna continued his journey to Noida after the meeting, while Shruti turned back and also headed for Noida. Having reached Noida, Shruti again turned back and met Krishna 30 minutes after their rst meeting. The time taken by Krishna to cover the distance between Delhi and Noida isa)2 hoursb)2.5 hoursc)3 hoursd)None of the aboveCorrect answer is option 'A'. Can you explain this answer?.
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