Multiple choice

The difference between the times taken by two buses to travel a distance of 350 km is 2 hours 20 minutes. If the difference between their speeds is 5 kmph, find the slower speed.

  1. 35 kmph

  2. 30 kmph

  3. 25 kmph

  4. 20 kmph
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let speeds be v and v+5. Time difference: 350/v - 350/(v+5) = 7/3 hours. 350(v+5 - v) / (v(v+5)) = 7/3. 350 * 5 / (v^2 + 5v) = 7/3. 1750 * 3 / 7 = v^2 + 5v. 750 = v^2 + 5v. v^2 + 5v - 750 = 0. (v+30)(v-25) = 0. Slower speed v = 25.

AI explanation

Let the slower speed be x kmph, making the faster speed (x + 5) kmph. Using the Time formula, the difference in time is (350/x) - (350/(x + 5)) = 7/3 hours. Solving this quadratic equation yields x = 25 kmph.

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