Multiple choice

A man completed a trip of $136$ km in $8$ hours. Some parts of the trip was covered at $15$ km/hr and the remaining at $18$ km/hr. Find the part of the trip covered at $18$ km/hr.

  1. $120$ km
  2. $109$ km
  3. $57$ km
  4. $96$ km
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let the time spent traveling at 18 km/h be t hours, which means the time spent traveling at 15 km/h is 8 - t hours. Setting up the distance equation, we get 18t + 15(8 - t) = 136, which simplifies to 3t = 16, or t = 16/3 hours. Multiplying this time by the speed of 18 km/h gives a distance of 96 km.