Multiple choice

Two trains leave Toronto for Kitchener at the same time. The speeds of both the trains are in the ratio of 5 : 7. The first train starts from Toronto at 3 pm and reaches Kitchener at 6 pm, covering a distance of 156 km. What is the speed of the second train?

  1. 65.4 km/hr

  2. 72.8 km/hr

  3. 75.5 km/hr

  4. 78.9 km /hr

  5. 47 km/hr
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

First train: 156 km in 3 hours (3pm to 6pm) = 52 km/hr. Ratio of speeds = 5:7. If 5 units = 52, then 1 unit = 10.4. Second train = 7 units = 7 * 10.4 = 72.8 km/hr.

AI explanation

The first train travels for 3 hours to cover 156 km. Using the formula speed equals distance divided by time, the speed of the first train is 156 divided by 3, which equals 52 km/hr. Because the ratio of their speeds is 5 to 7, we set up the proportion 52 divided by the second train's speed equals 5 divided by 7. Solving this gives a speed of 72.8 km/hr for the second train, making the correct answer 72.8 km/hr.

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