Multiple choice

Two cars P and Q start at the speed of 35 km and 45 km, respectively at the same time. Car P takes 20 minutes more than Car Q to reach at the destination. What is the total distance from the starting point to the final destination?

  1. 52.5 km

  2. 53.8 km

  3. 60 km

  4. Cannot be determined

  5. None of these
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A Correct answer
Explanation

Let distance be D. D/35 - D/45 = 20/60. D(9-7)/315 = 1/3. 2D/315 = 1/3. D = 315/6 = 52.5 km.

AI explanation

Let the total distance be D kilometers. Since Car P takes 20 minutes, or one third of an hour, more than Car Q, the time equation is D divided by 35, minus D divided by 45, equals one third. Finding a common denominator of 1575 gives 45 times D, minus 35 times D, divided by 1575, equals one third. Solving 10 times D equals 525 results in a total distance of 52.5 kilometers.

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