CAT 2020 Question Paper | Quants Slot 2

CAT Previous Year Paper | CAT Quants Questions | Question 15

Speed Time Distance forms one of the crucial topics of the Arithmetic part of the Quantitative Aptitude section of the CAT exam. As seen in 2IIM's CAT Blueprint, arithmetic forms around fifty percent of the questions asked in this section and hence requires your close attention to ace your online CAT preparation. The best way to practice crucial topics like these is to solve CAT previous year paper without having a look at the solution and see if you can get to the answer correctly, without wasting too much time.
Not sure where to start from? Here is a beautiful question on Time Speed Distance taken from Slot 2 of CAT 2020 Question paper! Lets try it out!

Question 15 : The distance from B to C is thrice that from A to B. Two trains travel from A to C via B. The speed of train 2 is double that of train 1 while traveling from A to B and their speeds are interchanged while traveling from B to C. The ratio of the time taken by train 1 to that taken by train 2 in travelling from A to C is

  1. 7:5
  2. 4:1
  3. 1:4
  4. 5:7

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Explanatory Answer

Two Trains
Trains be T1 and T2
and speed is s and 2s
Ratio of time taken for train 1 to train 2
\\frac{d}{s}) + \\frac{3d}{2s}) : \\frac{d}{2s}) + \\frac{3d}{s})
\\frac{5d}{2s}) : \\frac{7d}{2s})
5 : 7

The answer is, "5:7"

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