SOLUTION: plane b is flying 55 mph faster than plane a. Find the time it takes for plane b to travel 2220 miles if it takes plane a the same amount of time to travel 2000 miles.

Question 808887: plane b is flying 55 mph faster than plane a. Find the time it takes for plane b to travel 2220 miles if it takes plane a the same amount of time to travel 2000 miles.

Found 2 solutions by TimothyLamb, richwmiller:
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
b = a + 55
s = d / t
t = d / s
2000/a = 2220/b
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2000/a = 2220/(a + 55)
(1/2000)a = (1/2220)(a + 55)
(1/2000)a = (1/2220)a + (1/2220)55
(1/2000)a - (1/2220)a = (1/2220)55
(2220/(2220*2000))a - (2000/(2220*2000))a = (1/2220)55
(220/(2220*2000))a = (1/2220)55
a = 55(2220*2000)/(220*2220)
a = 55(2000)/(220)
a = 55(2000)/(220) = 454.545
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Answer:
a = 454.545 mph
b = 504.545 mph
time = 4.4 hours
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Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
(a+55)*t=2220,
a*t=2000
(a+55)*t=2220,
a = 500 mph, t = 4 hours
b=555 mph

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