## anonymous one year ago 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?

1. Mertsj

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2. Mertsj

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

3. anonymous

500t=200(t+2) @Mertsj

4. Mertsj

500t =200(t+4)

5. anonymous

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6. anonymous

8/3?

7. Mertsj

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

8. anonymous

I give up

9. Mertsj

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

10. anonymous

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

11. 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?

12. Mertsj

13. Mertsj

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

14. anonymous

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

15. Mertsj

Answer is 500 time 2 2/3

16. 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.

17. anonymous

@Mertsj

18. Mertsj

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19. 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

20. anonymous

r+20=3(r+20)?

21. anonymous

@Mertsj

22. Mertsj

How do you find a sum?

23. anonymous

Solve for t?

24. Mertsj

What is the sum of 3and 5?

25. anonymous

8

26. Mertsj

How did you get that?

27. anonymous

28. Mertsj

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

29. anonymous

30. Mertsj

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

31. anonymous

188?

32. Mertsj

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

33. anonymous

3(r+20)

34. Mertsj

What is the distance traveled on the winding road?

35. anonymous

4r

36. Mertsj

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

37. Mertsj

And the problem explains that the total is 188.

38. Mertsj

Write and solve the equation.

39. anonymous

R=120/7

40. Mertsj

Wouldn't it be 128/7?

41. Mertsj

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

42. anonymous

Oops I meant to put 128/7

43. anonymous

That can't be the miles though.

44. anonymous

@pooja195 can you help me?