SOLUTION: rational expressions..I need help with this thank you so very much and have a blessed day. 19. One high-speed jet travels 100 miles per hour faster than another. When one plane

Algebra ->  Rational-functions -> SOLUTION: rational expressions..I need help with this thank you so very much and have a blessed day. 19. One high-speed jet travels 100 miles per hour faster than another. When one plane       Log On


   



Question 636335: rational expressions..I need help with this thank you so very much and have a blessed day.
19. One high-speed jet travels 100 miles per hour faster than another. When one plane travels 2000 miles, the other travels 1500 miles. Find the speed of each plane.

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rational expressions..I need help with this thank you so very much and have a blessed day.
19. One high-speed jet travels 100 miles per hour faster than another. When one plane travels 2000 miles, the other travels 1500 miles. Find the speed of each plane.

Let average speed of plane be S
Then speed of jet = S + 100

Time jet takes to travel 2,000 miles equals time plane takes to fly 1,500 miles

2000%2F%28S+%2B+100%29+=+1500%2FS

1,500(S + 100) = 2000S ----- Cross-multiplying
1,500S + 150,000 = 2,000S
– 2,000S + 1,500S = - 150,000
– 500S = - 150,000

S, or average speed of plane = %28-+150000%29%2F-+500, or highlight_green%28300%29 mph

Jet’s average speed = 300+%2B+100, or highlight_green%28400%29 mph

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