Multiple choice

A part of a journey is covered in $1$ hour $40$ minutes at $75$ km/hr and the remaining part of it is covered in $2$ hours $50$ minutes at $60$ km/hr. Find the total length of the journey.

  1. $165$ km
  2. $295$ km
  3. $200$ km
  4. $250$ km
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Distance = speed * time. First part: 1 hour 40 minutes = 5/3 hours. Distance = 75 * (5/3) = 125 km. Second part: 2 hours 50 minutes = 17/6 hours. Distance = 60 * (17/6) = 170 km. Total distance = 125 + 170 = 295 km.

AI explanation

Using the formula distance equals speed multiplied by time, the first part of the journey covers 75 km/hr multiplied by 1 hour 40 minutes (or 5/3 hours), resulting in 125 km. The remaining part covers 60 km/hr multiplied by 2 hours 50 minutes (or 17/6 hours), resulting in 170 km. Adding these two distances gives the total length of the journey, 125 plus 170, which equals 295 km.

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