CAT Quantitative Aptitude Questions | CAT Time Speed and Distance & Races

CAT Questions | Speed Time | Relative speed

The question is from the topic relative Speed. This is relatively a straightforward question and only tests the basic concepts. Time Speed and Distance is a favorite in CAT Exam and appears more often than expected in the CAT Quantitative Aptitude section in the CAT Exam

Question 25: Two persons A and B start moving from point P towards Q which are 1400 Km apart. Speed of A is 50 Km/hr and that of B is 20 Km/hr. How far is A from Q when he meets B for the 22nd time?

  1. 1000 Km
  2. 600 Km
  3. 800 Km
  4. 1400 Km

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Explanatory Answer

Method of solving this CAT Question from Time Speed Distance:

For 22nd meeting, total distance travelled = 22 * 2 * 1400 Km

Distance travelled by A = \\frac{5}{7}\\)* 44 * 1400 = 44000 Km (1400 * 31 + 600).

Therefore, A would be 600 Km from Q.

The question is " How far is A from Q when he meets B for the 22nd time? "

Hence, the answer is 600 Km

Choice B is the correct answer.

 

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