Multiple choice

A train travels from Station A to Station B at a speed of 80 miles per hour. On the return journey, due to track repairs, the train travels at a reduced speed of 60 miles per hour. If the total time for the round trip is 3.5 hours, how far is Station B from Station A?

  1. 120 miles

  2. 150 miles

  3. 180 miles

  4. 240 miles

  5. 250 miles
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let distance be D. Time = D/80 + D/60 = 3.5. (3D+4D)/240 = 3.5. 7D/240 = 3.5. D = 3.5 * 240 / 7 = 0.5 * 240 = 120 miles.

AI explanation

Let the one way distance be D miles, so using the formula time equals distance divided by speed, the total time is D divided by 80 plus D divided by 60, which equals 3.5 hours. Finding a common denominator of 240 gives the equation 3D plus 4D equals 840, simplifying to 7D equals 840. Solving this gives D equals 120, meaning the distance between Station A and Station B is 120 miles.

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