CAT 2020 Quant Question [Slot 3] with Solution 03

Question

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. 11:45 AM
  2. 10:45 AM
  3. 11:20 AM
  4. 11:00 AM
Option: 4
Solution:

The distance travelled by A before B starts his journey \( = 40 \times 1.5 = 60\)

The time taken by them to meet each other \( = \frac{{90 - 60}}{{40 + 20}} = \frac{{30}}{{60}} = 0.5\) hours

Required answer =10: 30 a.m. +30 min =11: 00 a.m.

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