SOLUTION: Two planes, which are 2235 miles apart, fly toward each other. Their speeds differ by 95 mph. If they pass each other in 3 hours, what is the speed of each?

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Question 1049444: Two planes, which are
2235 miles apart, fly toward each other. Their speeds differ by 95 mph. If they pass each other in 3 hours, what is the speed of each?



Found 2 solutions by stanbon, advanced_Learner:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Two planes, which are
2235 miles apart, fly toward each other. Their speeds differ by 95 mph. If they pass each other in 3 hours, what is the speed of each?
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Their closing speed is x + x+95 = 2x+95 mph
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rate = distance/time
2x+95 = 2235/3
2x + 95 = 745
2x = 650
x = 325 mph (slower plane rate)
x+95 = 420 mph (faster plane rate)
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Cheers,
Stan H.
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Answer by advanced_Learner(501) About Me  (Show Source):
You can put this solution on YOUR website!
Plan X
speed x
time 3
distance 3x

plane Y
speed x%2B95
time 3
distance 3x%2B285
3x%2B3x%2B285=2235
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=325.
  • Graphical form: Equation 3x%2B3x%2B285=2235 was fully solved.
  • Text form: 3x+3x+285=2235 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+3x%2B3x%2B285=2235+%29
    For tutors: simplify_cartoon( 3x+3x+285=2235 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at highlight_red%28+3%2Ax+%29%2Bhighlight_red%28+3%2Ax+%29%2B285=2235.
Eliminated similar terms highlight_red%28+3%2Ax+%29,highlight_red%28+3%2Ax+%29 replacing them with highlight_green%28+%283%2B3%29%2Ax+%29
It becomes highlight_green%28+%283%2B3%29%2Ax+%29%2B285=2235.
Look at %28highlight_red%28+3+%29%2Bhighlight_red%28+3+%29%29%2Ax%2B285=2235.
Added fractions or integers together
It becomes %28highlight_green%28+6+%29%29%2Ax%2B285=2235.
Look at highlight_red%28+%28highlight_red%28+6+%29%29%2Ax+%29%2B285=2235.
Remove unneeded parentheses around factor highlight_red%28+6+%29
It becomes highlight_green%28+6+%29%2Ax%2B285=2235.
Look at 6%2Ax%2B285=highlight_red%28+2235+%29.
Moved these terms to the left highlight_green%28+-2235+%29
It becomes 6%2Ax%2B285-highlight_green%28+2235+%29=0.
Look at 6%2Ax%2Bhighlight_red%28+285+%29-highlight_red%28+2235+%29=0.
Added fractions or integers together
It becomes 6%2Ax%2Bhighlight_green%28+-1950+%29=0.
Look at 6%2Ax%2Bhighlight_red%28+-1950+%29=0.
Removed extra sign in front of -1950
It becomes 6%2Ax-highlight_green%28+1950+%29=0.
Look at highlight_red%28+6%2Ax-1950+%29=0.
Solved linear equation highlight_red%28+6%2Ax-1950=0+%29 equivalent to 6*x-1950 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=325.

Universal Simplifier and Solver


Done!