Multiple choice

A and B travel the same distance at the rate of 10 kmph and 14kmph respectively. If A takes 72 minutes longer than B, the distance travelled by both of them is:

  1. 40

  2. 42

  3. 36

  4. 74
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let distance be D. Time A = D/10, Time B = D/14. D/10 - D/14 = 72/60 = 1.2 hours. (7D - 5D) / 70 = 1.2 => 2D = 84 => D = 42.

AI explanation

Using the formula Time equals Distance divided by Speed, let the distance be D kilometers. The difference in time is 72 minutes, which is 1.2 hours, so D/10 minus D/14 equals 1.2. Solving this equation gives 4D divided by 140 equals 1.2, so 4D equals 168. The distance travelled by both of them is 42 kilometers.

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