Multiple choice

Two runners cover a certain distance at the rates of 15 km/hr and 16 km/hr. Find the distance if one takes 16 minutes longer than the other.

  1. 62 km

  2. 74 km

  3. 64 km

  4. 78 km

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let distance be D. Time taken is D/15 and D/16. Given D/15 - D/16 = 16/60 hours. Solving this, D/240 = 4/15, so D = 64 km.

AI explanation

Let the distance be D kilometers, so the difference in time taken by the two runners is D divided by 15 minus D divided by 16. Set this difference equal to 16 minutes, which is 16 divided by 60 hours, to establish the equation D divided by 15 minus D divided by 16 equals 4 divided by 15. Solving this equation yields D multiplied by 1 divided by 240 equals 4 divided by 15, resulting in a distance of 64 kilometers.

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