Multiple choice

A and B travel the same distance at speeds of 9km/hr and 10km/hr respectively. If A takes 36 minutes more than B, the distance travelled by each is

  1. 48km

  2. 54km

  3. 60km

  4. 66km
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the distance be D km. The time taken by A is D/9 hours and by B is D/10 hours. Since A takes 36 minutes (which is 36/60 = 0.6 hours) more than B, we set up the equation D/9 - D/10 = 0.6, which simplifies to D/90 = 0.6, giving D = 54 km.

AI explanation

Let the distance travelled be d kilometers. Using the formula Time equals Distance divided by Speed, the time taken by A is d/9 hours and the time taken by B is d/10 hours. Since A takes 36 minutes (which is 0.6 hours) more than B, we can set up the equation d/9 minus d/10 equals 0.6. Finding a common denominator of 90 gives (10d minus 9d) / 90 equals 0.6, so d/90 equals 0.6, which means d equals 54 kilometers.

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