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A straight road connects points A and B | Quantitative Aptitude - CAT TSD

CAT 2020 – The CAT QA section has grown increasingly difficult since 2015. In order to tackle the tougher CAT Level QA questions for the CAT Exam, it is important to understand the basics of CAT. To obtain a great CAT score, make use of MBAP Free Study material with detailed solutions and video explanations. Check out MBAP free Mock test to take these questions in a test format for free.

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The question below is from previous year CAT question from CAT 2020 exam comes from CAT Time Speed Distance: A straight road connects points A and B. Car 1 travels from A to B and Car 2 travels from B to A, both leaving at the same time. After meeting each other, they take 45 minutes and 20 minutes, respectively, to complete their journeys. If Car 1 travels at the speed of 60 km/hr, then the speed of Car 2, in km/hr, is 

Find out by answering this question which tests an aspirant’s Quantitative Ability Skills:

CAT 2020 - Slot 1 - Quantitative Aptitude - TSD - Question 7 - A straight road connects points A and B

Q. 7: A straight road connects points A and B. Car 1 travels from A to B and Car 2 travels from B to A, both leaving at the same time. After meeting each other, they take 45 minutes and 20 minutes, respectively, to complete their journeys. If Car 1 travels at the speed of 60 km/hr, then the speed of Car 2, in km/hr, is

1. 90
2. 80
3. 70
4. 100

Correct Answer: 90

After reaching the destinations…

C1 takes t minutes to cover AD, while C2 takes 20 minutes

C1 takes 45 minutes to cover DB, while C2 takes t minutes

the ratio of speeds of C1 and C2 on the stretch AD will be equal to the ratio of their speed on the stretch DB.

When the distances are the same, the ratio of speeds is the inverse ratio of time taken.

ratio of speeds of C1 and C2 on the stretch AD = 20/t

ratio of speeds of C1 and C2 on the stretch DB = t/45

Therefore, 20/t = t/45

 
Speed of C2 = 90 kmph

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