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10 September, 10:43

Two hikers are 33 miles apart and walking towards each other. They meet in 10 hours. Find the rate of each Hiker if one joker walks 1.1 mph fast than the other

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  1. 10 September, 11:34
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    Step-by-step explanation:

    Let x represent the rate of the first hiker.

    if one hiker walks 1.1 mph fast than the other, it means that the rate of the second hiker would be x + 1.1

    Two hikers are 33 miles apart and walking towards each other. They meet in 10 hours. This means that in 10 hours, both hikers travelled a total distance of 33 miles.

    Distance = speed * time

    Distance covered by the first hiker in 10 hours would be

    x * 10 = 10x

    Distance covered by the second hiker in 10 hours would be

    10 (x + 1.1) = 10x + 11

    Since the total distance covered by both hikers is 33 miles, then

    10x + 10x + 11 = 33

    20x + 11 = 33

    20x = 33 - 11 = 22

    x = 22/20 = 1.1 miles per hour

    The rate of the second hiker would be

    1.1 + 1.1 = 2.2 miles per hour.
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