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?

Algebra.Com
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)   (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?
-----
Their closing speed is x + x+95 = 2x+95 mph
-----
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)
----------
Cheers,
Stan H.
-----------

Answer by advanced_Learner(501)   (Show Source): You can put this solution on YOUR website!
Plan X
speed
time
distance

plane Y
speed
time
distance
=
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


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

DETAILED EXPLANATION


Look at .
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 .

Look at .
Added fractions or integers together
It becomes .

Look at .
Remove unneeded parentheses around factor highlight_red%28+6+%29
It becomes .

Look at .
Moved these terms to the left highlight_green%28+-2235+%29
It becomes .

Look at .
Added fractions or integers together
It becomes .

Look at .
Removed extra sign in front of -1950
It becomes .

Look at .
Solved linear equation highlight_red%28+6%2Ax-1950=0+%29 equivalent to 6*x-1950 =0
It becomes .
Result:
This is an equation! Solutions: x=325.

Universal Simplifier and Solver


Done!

RELATED QUESTIONS

Two planes, which are 3225 miles apart, fly toward each other. Their speeds differ by 95... (answered by josmiceli)
Two planes, 2000 miles apart, fly toward each other. Their speeds differ by 35 mph. If... (answered by ewatrrr)
two planes which are 2745 miles apart fly toward each other. Their speeds differ by 65... (answered by josmiceli)
Two planes which are 2160 miles apart fly toward each other. Their speeds differ by 70... (answered by mananth)
Question : two planes which are 2385 miles apart fly toward each other. Their speeds... (answered by mananth)
Two planes which are 2475 miles apart fly toward each other. Their speeds differ by 75... (answered by radh,graphmatics)
Two planes which are 2475 miles apart fly toward each other. Their speeds differ by 75... (answered by josmiceli)
Two planes, which are 4425 miles apart, fly toward each other. their speeds differ by 35... (answered by nerdybill)
Two planes, which are 1180 miles apart, fly toward each other. Their speeds differ by 40... (answered by richwmiller,lwsshak3)