CAT 2020 Quant Question [Slot 1] with Solution 15

Question

Leaving home at the same time, Amal reaches office at 10: 15 am if he travels at 8 km/hr, and at 9: 40 am if he travels at 15 km/hr. Leaving home at 9: 10 am, at what speed, in km/hr, must he travel so as to reach office exactly at 10 am ?

  1. 13
  2. 14
  3. 12
  4. 11
Option: 3
Solution:

Let the speed in the first two cases be s and the distance be "d'. Given, \(\frac{d}{8} - \frac{d}{{15}} = \frac{{35}}{{60}} \Rightarrow d = 10km\)

Required speed \( = \frac{{10}}{{\frac{{50}}{{60}}}}\)=12 kmph

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