anonymous
  • anonymous
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?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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Mertsj
  • Mertsj
|dw:1441758591522:dw|
Mertsj
  • 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
  • anonymous
500t=200(t+2) @Mertsj

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More answers

Mertsj
  • Mertsj
500t =200(t+4)
anonymous
  • anonymous
|dw:1441759734634:dw|
anonymous
  • anonymous
8/3?
Mertsj
  • Mertsj
500t = 200t+800 300t=800 t=8/3 d=500t=500(8/3)=1,333 1/3miles
anonymous
  • anonymous
I give up
Mertsj
  • Mertsj
why do you give up? You found out that in 2 2/3 hours the jet will catch the other plane, right?
anonymous
  • anonymous
I'm trying so hard to do these problems and I can't do it.
Mertsj
  • 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
  • Mertsj
Answer is 50 times 2
Mertsj
  • Mertsj
If the jet goes 500 miles in 1 hour, how far will it go in 2 2/3 hours?
anonymous
  • anonymous
I'm on a different question now. It's just stressful.
Mertsj
  • Mertsj
Answer is 500 time 2 2/3
anonymous
  • 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
  • anonymous
@Mertsj
Mertsj
  • Mertsj
|dw:1441761147881:dw|
Mertsj
  • 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
  • anonymous
r+20=3(r+20)?
anonymous
  • anonymous
@Mertsj
Mertsj
  • Mertsj
How do you find a sum?
anonymous
  • anonymous
Solve for t?
Mertsj
  • Mertsj
What is the sum of 3and 5?
anonymous
  • anonymous
8
Mertsj
  • Mertsj
How did you get that?
anonymous
  • anonymous
property of addition by adding 3 and 5 together
Mertsj
  • Mertsj
Correct. So I repeat my original question: How do you find a sum?
anonymous
  • anonymous
addition
Mertsj
  • Mertsj
So back to the problem: What is the sum of the distances?
anonymous
  • anonymous
188?
Mertsj
  • Mertsj
Look at the table I drew. What is the distance traveled on the level road?
anonymous
  • anonymous
3(r+20)
Mertsj
  • Mertsj
What is the distance traveled on the winding road?
anonymous
  • anonymous
4r
Mertsj
  • Mertsj
So the sum is 4r + 3(r+20)
Mertsj
  • Mertsj
And the problem explains that the total is 188.
Mertsj
  • Mertsj
Write and solve the equation.
anonymous
  • anonymous
R=120/7
Mertsj
  • Mertsj
Wouldn't it be 128/7?
Mertsj
  • Mertsj
\[4r+3(r+20)=188\] \[4r+3r+60=188\] \[7r+60=188\] \[7r=128\] \[r=\frac{128}{7}=18 \frac{2}{7}\]
anonymous
  • anonymous
Oops I meant to put 128/7
anonymous
  • anonymous
That can't be the miles though.
anonymous
  • anonymous
@pooja195 can you help me?

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