Video: Solving Word Problems Involving Two Operations

A car is traveling at 40 miles per hour, and a train is traveling at 32 miles per hour in the same direction. How much farther than the train will the car have traveled after 2 hours?

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Video Transcript

A car is travelling at 40 miles per hour and a train is travelling at 32 miles per hour in the same direction. How much farther than the train will the car have travelled after two hours?

We have a car and a train. The car is travelling at 40 miles per hour and the train is travelling at 32 miles per hour. We need to compare how far they’ve gone after two hours.

To find out how far each vehicle travelled in two hours, we’ll need to take their speed and multiply that by the time that they were travelling. And that will give us the distance: 40 miles per hour times two hours equals 80 miles. After two hours, the car has gone 80 miles. Now, I need to multiply 32 by two: 32 times two equals 64. After two hours, the train had travelled 64 miles.

Now, we need to know how much farther did the car go than the train. We can find that by subtracting the distance the train went from the distance the car went: 80 miles minus 64 miles. We can’t subtract four from zero. So we borrow from our tens place. Now we have seven tens and ten ones. 10 minus four equals six and seven minus six equals one. The car went 16 miles further than the train in the two hours.

The car travelled 16 miles further than the train.

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