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26 votes
26 votes
Nonstop trains leave Toronto and Montreal at the same time each day going to the

other city along the main line. One train travels at 120 km/h and the other at 90 km/h.
Assuming the track is straight, how far apart are they one hour before they meet?

User Rubber Boots
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3.1k points

2 Answers

8 votes
8 votes

Final answer:

The trains from Toronto and Montreal, travelling towards each other at speeds of 120 km/h and 90 km/h respectively, are 210 km apart one hour before they meet.

Step-by-step explanation:

The problem presented involves trains leaving Toronto and Montreal at the same time and travelling towards each other, one at 120 km/h and the other at 90 km/h. To find out how far apart the trains are one hour before they meet, we need to consider the relative speed at which they are approaching each other. The sum of their speeds is 120 km/h + 90 km/h, which equals 210 km/h. This is the speed at which the distance between them is decreasing. One hour before they meet, they would have covered a distance equal to their combined speed, since this is the distance they would cover in one hour. Therefore, one hour before they meet, the trains are 210 km apart.

User NitinSingh
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3.0k points
14 votes
14 votes

Answer:

Step-by-step explanation:

Train1 travels 120 km/h. For 1 hour is will travel 120 km.
Train2 travels 90 km/h. For 1 hour is will travel 90 km.
Each train will travel one hour before they meet.
120 km (for train1) + 90 km (for train2) = 210 km.

User Blazerg
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3.0k points