Wanda and Miranda like water sports. Wanda is kayaking down the river from a dock in Johnson county at 6 miles per hour. Miranda

Question

3 years ago

9

is jet skiing at 30 miles per hour. How long will it take for them to be 9 miles apart

1 answer:

Zielflug [23.3K] · Answer 1 · 2022-06-17T01:34:30+03:00

It will take Wanda and Miranda 0.375 hours to be 9 miles apart

Wanda's speed = 6 miles per hour

Miranda's speed = 30 miles per hour

Distance = Speed x time

Find the distance covered by Wanda in t hours

$D_{wanda} = 6t$

Find the distance covered by Miranda in t hours

$D_{miranda} = 30t$

Difference in the distances covered

$D_{miranda} - D_{wanda} = 30t-6t\\\\D_{miranda} - D_{wanda} = 24t$

The difference in their distance is 9 miles

$9 = 24t$

To find the time, divide both sides by 9

$\frac{9}{24} = \frac{24}{24}t\\\\t = \frac{9}{24}\\\\t = 0.375$

It will take Wanda and Miranda 0.375 hours to be 9 miles apart