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maria [59]
4 years ago
12

Heather left the airport and drove toward her friend's house at an average speed of 30 miles per hour. Cody left 2 hours later d

riving in the same direction at an average speed of 50 miles per hour. Find the number of hours it took for Cody to catch up with Heather.
Mathematics
2 answers:
wariber [46]4 years ago
6 0

Answer:

3 hours

Step-by-step explanation:

Semmy [17]4 years ago
4 0

Answer:

1 hour and 20 minutes

Step-by-step explanation:

At 2 hours Heather would be at 60 miles and Cody would just start so it would take him and hour to get to 50 miles and 20 more minutes to get to where Heather was.

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Answer:

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Step-by-step explanation:

In order to solve this problem we must start by graphing the given function and finding the differential area we will use to set our integral up. (See attached picture).

The formula we will use for this problem is the following:

V=\int\limits^b_a {\pi r^{2}} \, dy

where:

r=6-(6-3 sec(y))

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a=0

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so the volume becomes:

V=\int\limits^\frac{\pi}{3}_0 {\pi (3 sec(y))^{2}} \, dy

This can be simplified to:

V=\int\limits^\frac{\pi}{3}_0 {9\pi sec^{2}(y)} \, dy

and the integral can be rewritten like this:

V=9\pi\int\limits^\frac{\pi}{3}_0 {sec^{2}(y)} \, dy

which is a standard integral so we solve it to:

V=9\pi[tan y]\limits^\frac{\pi}{3}_0

so we get:

V=9\pi[tan \frac{\pi}{3} - tan 0]

which yields:

V=9\pi\sqrt{3}]

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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