a jet plane traveling at 500 mph overtakes a propeller plane traveling at 200 mph that had a 4-hour head start. How far from the starting point are the planes?

- anonymous

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- Mertsj

|dw:1441758591522:dw|

- Mertsj

Write the equation that says that the two distances are equal. Solve for t. Use the solution for time to calculate the distance.

- anonymous

500t=200(t+2)
@Mertsj

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## More answers

- Mertsj

500t =200(t+4)

- anonymous

|dw:1441759734634:dw|

- anonymous

8/3?

- Mertsj

500t = 200t+800
300t=800
t=8/3
d=500t=500(8/3)=1,333 1/3miles

- anonymous

I give up

- Mertsj

why do you give up? You found out that in 2 2/3 hours the jet will catch the other plane, right?

- anonymous

I'm trying so hard to do these problems and I can't do it.

- Mertsj

Stop saying "can't". You got the time right. If you go 50 miles in one hour, how far will you go in 2 hours?

- Mertsj

Answer is 50 times 2

- Mertsj

If the jet goes 500 miles in 1 hour, how far will it go in 2 2/3 hours?

- anonymous

I'm on a different question now.
It's just stressful.

- Mertsj

Answer is 500 time 2 2/3

- anonymous

I know but I'm on A bus traveled on a level road for 3 hours at an average speed 20 miles per hour faster than it traveled on a winding road. The time spent on the winding road was 4 hours. Find the average speed on the level road if the entire trip was 188 miles.

- anonymous

@Mertsj

- Mertsj

|dw:1441761147881:dw|

- Mertsj

This time it tells you the total of the two distances so write and solve the equation that says the sum of the distances is 188

- anonymous

r+20=3(r+20)?

- anonymous

@Mertsj

- Mertsj

How do you find a sum?

- anonymous

Solve for t?

- Mertsj

What is the sum of 3and 5?

- anonymous

8

- Mertsj

How did you get that?

- anonymous

property of addition by adding 3 and 5 together

- Mertsj

Correct. So I repeat my original question: How do you find a sum?

- anonymous

addition

- Mertsj

So back to the problem: What is the sum of the distances?

- anonymous

188?

- Mertsj

Look at the table I drew. What is the distance traveled on the level road?

- anonymous

3(r+20)

- Mertsj

What is the distance traveled on the winding road?

- anonymous

4r

- Mertsj

So the sum is 4r + 3(r+20)

- Mertsj

And the problem explains that the total is 188.

- Mertsj

Write and solve the equation.

- anonymous

R=120/7

- Mertsj

Wouldn't it be 128/7?

- Mertsj

\[4r+3(r+20)=188\]
\[4r+3r+60=188\]
\[7r+60=188\]
\[7r=128\]
\[r=\frac{128}{7}=18 \frac{2}{7}\]

- anonymous

Oops I meant to put 128/7

- anonymous

That can't be the miles though.

- anonymous

@pooja195 can you help me?

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