Speed Time Distance Questions - Relative Speed : CAT, XAT, TANCET, SNAP Entrance Preparation Questions : Ascent

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Speed, Time, Distance : CAT 2016 Math Questions Answers

Question 4 the day: April 08, 2003
The question for the day is from the topic Speed, Time Distance and helps understand the concept of relative speeds when two bodies travel in opposite directions.

A man and a woman 81 miles apart from each other, start travelling towards each other at the same time. If the man covers 5 miles per hour to the women's 4 miles per hour, how far will the woman have travelled when they meet?
  1. 27
  2. 36
  3. 45
  4. None of these
Correct Answer is 36. Choice (2) is right.

Explanatory Answer

Time taken to meet = (Distance between them) / (Relative speed)
= 81/(4 + 5) = 9 hours

Therefore, woman travells = 9 x 4 = 36 miles.

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