Multiple choice

Two trains, A and B, started at the same time from Austin with speeds of 60 miles per hour and 80 miles per hour, respectively. They did not stop anywhere up to Houston. Train A reached Houston 40 minutes after train B. Find the distance between Austin and Houston.

  1. 120 miles

  2. 140 miles

  3. 160 miles

  4. 180 miles

  5. 200 miles
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let distance be D. Time for A = D/60, time for B = D/80. Difference is 40 minutes = 2/3 hours. D/60 - D/80 = 2/3. Multiplying by 240: 4D - 3D = 160. D = 160 miles.

AI explanation

Let the distance between Austin and Houston be D miles. The time difference between the two trains is 40 minutes, which is two-thirds of an hour. Using the formula Time equals Distance divided by Speed, we set up the equation D divided by 60 minus D divided by 80 equals two-thirds. Finding a common denominator of 240, the equation becomes 4D minus 3D divided by 240 equals two-thirds, which simplifies to D divided by 240 equals two-thirds, yielding a distance of 160 miles.

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