Multiple choice

I travel the first part of my journey at a speed of 40 kmph, the second part at a speed of 60 kmph and cover the total distance of 240 km to my destination in 5 hours. How long does the first part of my journey take?

  1. 6 hours

  2. 3.5 hours

  3. 4 hours

  4. 3 hours

  5. 2 hours
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D Correct answer
Explanation

Let t be the time taken for the first part of the journey. The distance equation is 40*t + 60*(5 - t) = 240. Simplifying this gives -20*t + 300 = 240, which leads to 20*t = 60, or t = 3 hours.

AI explanation

Let the time taken for the first part of the journey at 40 kmph be x hours, which means the second part takes 5 minus x hours at 60 kmph. The total distance equation is 40x plus 60(5 minus x) equals 240. Solving this gives 40x plus 300 minus 60x equals 240, which simplifies to 20x equals 60. The first part of the journey takes 3 hours.

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