Multiple choice

Cyclists P and Q cycle at 20 km/hr and 25 km/hr, respectively towards each other. What was the distance (in kms) between them when they started, if they met after 56 minutes?

  1. 36 km

  2. 39 km

  3. 42 km

  4. 45 km
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Relative speed = 20 + 25 = 45 km/hr. Time = 56 minutes = 56/60 hours = 14/15 hours. Distance = Speed * Time = 45 * (14/15) = 3 * 14 = 42 km.

AI explanation

Since the cyclists are moving towards each other, their relative speed is the sum of their individual speeds, which is 20 km/hr plus 25 km/hr to equal 45 km/hr. They met after 56 minutes, which converts to 56 divided by 60 hours, or 14 divided by 15 hours. Using the distance formula, distance equals speed multiplied by time, the starting distance is 45 multiplied by 14 divided by 15, resulting in 42 km.

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