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GATE 2025 ME – Question 3

General Aptitude · Quantitative Aptitude: Arithmetic and Number Computation · 1 mark · Multiple choice

Two cars, P and Q, start from a point X in India at 10 AM. Car P travels North with a speed of 25 km/h and car Q travels East with a speed of 30 km/h. Car P travels continuously but car Q stops for some time after travelling for one hour. If both the cars are at the same distance from X at 11:30 AM, for how long (in minutes) did car Q stop?

  1. 10
  2. 12
  3. 15
  4. 18

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Correct answer: (C) 15

Explanation

In 1.5 hours, car P has gone $25 \times 1.5 = 37.5$ km. Car Q is also 37.5 km from X, so it travelled for $\frac{37.5}{30} = 1.25$ hours. It was therefore stopped for $1.5 - 1.25 = 0.25$ hours, which is 15 minutes.