Question #56688

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Answer 1 · 2016-12-07T13:48:21

Assuming running velocity is constant.

She can run 7 miles in 1 hour

Let the velocity (speed) in miles per hour be: $v mph$ $" "v" mph"$

$" "$ velocity x time = distance

$\Rightarrow v \times \frac{1}{8} = \frac{7}{8} miles$ $" "=>vxx1/8=7/8" miles"$

Multiply both sides by $8$ $color(red)(8)$

$v \times 8 \times \frac{1}{8} = \frac{7}{8} \times 8$ $" "color(green)(vxx color(red)(8xx)1/8" "=" "7/8color(red)(xx8))$

$v \times \frac{8}{8} = 7 \times \frac{8}{8}$ $" "vxx8/8" "=" "7xx8/8$

But $\frac{8}{8} = 1$ $8/8=1$

$v \times 1 = 7 \times 1$ $" "vxx1=7xx1$

$v = 7 mph$ $" "v=7" mph"$