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CAT 2022 Slot 3 — QA Question 7

Relative SpeedEasy

Two cars travel from different locations at constant speeds. To meet each other after starting at the same time, they take 1.5 hours if they travel towards each other, but 10.5 hours if they travel in the same direction. If the speed of the slower car is 60 km/hr, then the distance travelled, in km, by the slower car when it meets the other car while traveling towards each other, is

Answer & solution

  • 90

  • B

    120

  • C

    100

  • D

    150

Solution

Easy

Don't overthink it. Travelling towards each other, they meet in 1.51.5 hours. The slower car's speed is given as 6060 km/hr, so its distance is just speed ×\times time. The 10.510.5-hour figure is a distractor here.

1

Distance of the slower car until they meet (travelling towards each other for 1.51.5 h):

d=speed×time=60×1.5=90 kmd=\text{speed}\times\text{time}=60\times1.5=90\text{ km}
Distance by slower car=90 km\text{Distance by slower car}=\mathbf{90}\text{ km}

The slower car's own speed and the meeting time are all you need. The "same direction, 10.510.5 h" line would only matter if it asked for the faster car's speed or the total distance.

CAT 2022 Slot 3 QA Q7: Two cars travel from different locations at constant speeds. To meet each other after starting at the same tim — Solution | TheCATExam