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6 November, 17:04

Sean is driving to visit his friend in another state. In the first hour he travels 1/5 of the total distance. In the second hour he travels 34 miles. If he has 194 more to go, how far apart do the friends live?

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  1. 6 November, 17:38
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    They live 285 miles apart

    Step-by-step explanation:

    Let the total distance be x miles

    Sean is driving to visit his friend in another state. In the first hour he travels 1/5 of the total distance. This means that he drove x/5 in the first hour. In the second hour he travels 34 miles. That means

    Total distance driven in the first and second hour is

    (x/5 + 34) miles

    He still has 194 miles more to go.

    Therefore,

    The total distance is the sum of the distance travelled in the first and second hour + the remaining distance.

    x = x/5 + 34 + 194

    x = x/5 + 228

    Cross multiplying

    5x = x + 1140

    4x = 1140

    x = 1140/4 = 285 miles
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