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You decide to walk to two friends' houses to deliver some homemade cards. You walk four miles per hour to the first house, place the card in the mailbox, and then walk four miles per hour to the second house. The distance from the first house to the second house is twice as long as the distance from your house to the first house. The total amount of time it takes to deliver the cards is 1 hour. From your house to the second house, how many miles in total did you walk?
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Quad12364

Answer:

4 miles

Step-by-step explanation:

We know the total time taken is 1 hour. They walk at 4 miles per hour, so the time taken to walk from their house to the first house is x/4, and the time taken to walk from the first house to the second house is 2x/4, which simplifies to x/2.

As the total time taken is 1 hour, we can form this equation:

x/4 + x/2 = 1

To solve for x:

Multiply through by 4 to clear the fractions:

x + 2x = 4

3x = 4

x = 4/3

So, the distance from their house to the first house is 4/3 miles, and the distance from the first house to the second house is 8/3 miles.

To find the total distance walked from their house to the second house:

Total distance = (4/3) + (8/3) = 12/3 = 4 miles

Therefore, they walked a total of 4 miles from their house to the second house to deliver the cards.

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