SOLUTION: Two planes start at the same time from points that are 1,550 kilometers apart. How long will it take the two planes to meet if plane A flies at 220 kilometers an hour and plane B f

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Question 1052750: Two planes start at the same time from points that are 1,550 kilometers apart. How long will it take the two planes to meet if plane A flies at 220 kilometers an hour and plane B flies at 280 kilometers an hour?
Found 2 solutions by rfer, advanced_Learner:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
coming together at 220+280=500 kph
1550/500=3.1 hrs

Answer by advanced_Learner(501) About Me  (Show Source):
You can put this solution on YOUR website!
Plane A travelled
220t
and plane B
280t
220t%2B280t=1550
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: t=3.1.
  • Graphical form: Equation 220t%2B280t=1550 was fully solved.
  • Text form: 220t+280t=1550 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+220t%2B280t=1550+%29
    For tutors: simplify_cartoon( 220t+280t=1550 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at highlight_red%28+220%2At+%29%2Bhighlight_red%28+280%2At+%29=1550.
Eliminated similar terms highlight_red%28+220%2At+%29,highlight_red%28+280%2At+%29 replacing them with highlight_green%28+%28220%2B280%29%2At+%29
It becomes highlight_green%28+%28220%2B280%29%2At+%29=1550.
Look at %28highlight_red%28+220+%29%2Bhighlight_red%28+280+%29%29%2At=1550.
Added fractions or integers together
It becomes %28highlight_green%28+500+%29%29%2At=1550.
Look at highlight_red%28+%28highlight_red%28+500+%29%29%2At+%29=1550.
Remove unneeded parentheses around factor highlight_red%28+500+%29
It becomes highlight_green%28+500+%29%2At=1550.
Look at 500%2At=highlight_red%28+1550+%29.
Moved these terms to the left highlight_green%28+-1550+%29
It becomes 500%2At-highlight_green%28+1550+%29=0.
Look at highlight_red%28+500%2At-1550+%29=0.
Solved linear equation highlight_red%28+500%2At-1550=0+%29 equivalent to 500*t-1550 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: t=3.1.

Universal Simplifier and Solver


Done!