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CAT 2017 Slot 2 — QA Question 12

Relative SpeedEasy

A motorbike leaves point A at 1 pm and moves towards point B at a uniform speed. A car leaves point B at 2 pm and moves towards point A at a uniform speed which is double that of the motorbike. They meet at 3:40 pm at a point which is 168 km away from A. What is the distance, in km, between A and B?

Answer & solution

  • A

    364

  • 378

  • C

    380

  • D

    388

Solution

Motorbike travels 168 kms from 1 pm till 3:40 pm i.e. in 2 hours 40 mins = 83 hours.

⇒ Speed of motorbike = 1688/3 = 63 kmph

∴ Speed of Car = 2 × Speed of Motorbike = 2 × 63 = 126 km/hr

Now as the car travels for 1 hour 40 minutes.

Distance travelled by the car = 126 × 53 or 210 km

Distance between A and B = Distance travelled by Motorbike + Distance travelled by Car

 = 168 + 210 = 378 km

Hence, option (b).

CAT 2017 Slot 2 QA Q12: A motorbike leaves point A at 1 pm and moves towards point B at a uniform speed. A car leaves point B at 2 pm — Solution | TheCATExam