A and B are two railway stations 90 km apart - Quantitative Aptitude - TSD
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The question below is from previous year CAT question from CAT 2020 exam comes from CAT TSD: A and B are two railway stations 90 km apart
Find out by answering this question which tests an aspirant’s Quantitative Ability Skills.
You may also find remaining question solution of CAT 2020, Slot 3 by searching the question in the search bar.
CAT 2020 - Slot 3 - Quantitative Aptitude - TSD - Question 21 - A and B are two railway stations 90 km apart
Q. 21: A and B are two railway stations 90 km apart. A train leaves A at 9:00 am, heading towards B at a speed of 40 km/hr. Another train leaves B at 10:30 am, heading towards A at a speed of 20 km/hr. The trains meet each other at
1. 11 : 20 am
2. 11 : 00 am
3. 10 : 45 am
4. 11 : 45am
21. B.
Let’s represent the positions of the trains at 9:00 AM
Train from station B will not start till 10:30 AM, meanwhile train A starts from A at 9:00 AM, and travels for 1.5 hours at 40kmph speed. Therefore, by 10:30 AM, train A travels 1.5 × 40 = 60 km towards B.
The positions of the two trains at 10:30 AM will be
Now both the trains A and B have 90 – 60 = 30 km to cover between them.
The relative speed of the two trains will be 40 + 20 = 60kmph.
With a relative speed of 60kmph, the two trains cover 30km in half an hour.
Hence the two trains will meet at 11: 00 AM
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