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OlgaM077 [116]
3 years ago
15

Two planes make a 900 mile flight, one flying 50 miles per hour faster than the other. The quicker plane makes the trip 3 hours

faster. How long did it take the slower plane to complete the flight?
Mathematics
1 answer:
Alex_Xolod [135]3 years ago
4 0
<span>let the speed of the slower plane be x mph, then
1000/x - 1000/(x+75) = 3

multiply across by x(x+75)
1000(x+75) - 1000x = 3x(x+75)

collect terms & simplify
3x² + 3*75x - 1000*75 = 0
x² +75x - 25,000 = 0 

(x+200)(x-125) = 0

take the positive value,
x = 125 mph
------------

</span>Faster plane:
200 mph
5 hours

Slower plane
125 mph
8 hours
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Answer:

12 pieces each:

S_1 = 3\ in

S_2= 4\ in

Step-by-step explanation:

Given

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S_2 = 48\ in --- second string

Required

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<em>Hence, he can cut both strings to 12 pieces each</em>

<em></em>

<em>Recall that </em>

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Read 2 more answers
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