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GATE 2022 ME (ME1) – Question 3

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

A person travelled 80 km in 6 hours. If the person travelled the first part with a uniform speed of 10 kmph and the remaining part with a uniform speed of 18 kmph. What percentage of the total distance is travelled at a uniform speed of 10 kmph?

  1. 28.25
  2. 37.25
  3. 43.75
  4. 50.00

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Correct answer: (C) 43.75

Explanation

Let the first part be $d$ km. Then $\frac{d}{10} + \frac{80 - d}{18} = 6$. Multiplying by 90: $9d + 400 - 5d = 540$, so $d = 35$ km. That is $\frac{35}{80} = 43.75\%$.