Video: Multiplying and Subtracting Integers in Word Problems

From the peak of a mountain, Daniel was hiking down at 1650 feet per hour, and Isabella was hiking down at 1040 feet per hour. After 3 hours, how much farther from Isabella was Daniel?

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Video Transcript

From the peak of a mountain, Daniel was hiking down at 1650 feet per hour and Isabella was hiking down at 1040 feet per hour. After three hours, how much farther from Isabella was Daniel?

In order to calculate the distance that both Daniel and Isabella have travelled, we need to multiply the speed by the time. Daniel’s speed was 1650 feet per hour and he travelled for a time of three hours. We, therefore, need to multiply 1650 by three.

Three multiplied by zero is equal to zero. Three multiplied by five is equal to 15. So we carry the one. Three multiplied by six is 18. Adding a one gives us 19. And finally, three multiplied by one is equal to three. Adding the one gives us four. This means that 1650 multiplied by three is equal to 4950. We can say that after three hours Daniel is 4950 feet down the mountain.

We can calculate the distance that Isabella has travelled by multiplying her speed 1040 by the time three hours. 1040 multiplied by three is 3120. Therefore, Isabella is 3120 feet down the mountain.

The question asked us to calculate how much farther from Isabella Daniel was. In order to do this, we need to subtract 3120 from 4950. This gives us an answer of 1830. We can, therefore, say that Daniel was 1830 feet farther down the mountain than Isabella.

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