anonymous
  • anonymous
At 10:00 a.m. two planes leave an airport. If the northbound plane flies at 280 mph and the southbound at 320 mph, at what time will they be 1,000 miles apart? { a.m.}
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
Distance = speed × time.
anonymous
  • anonymous
There are two distances and two speeds, but the two distances add up to 1000mi. and the time for both is the same.
anonymous
  • anonymous
how does 320+280=1000

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anonymous
  • anonymous
320×time + 280×time = 1000.
anonymous
  • anonymous
You have to find the time.
anonymous
  • anonymous
"320+280=1000" would be 'speed + speed = distance' which doesn't make sense.
anonymous
  • anonymous
so speed + speed = distance means that it equals 600?
anonymous
  • anonymous
Speed + speed = distance is nonsensical and cannot be used. There are two distances that add up to 1000, so you need distance1 + distance2 = total distance. distance1=speed1×time, distance2=speed2×time. The only unknown here is the amount of time.
anonymous
  • anonymous
so confusing
anonymous
  • anonymous
It does reduce to an equation that looks like a single speed of 600mph, and a single time of ? for a single total distance of 1000mi.
anonymous
  • anonymous
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anonymous
  • anonymous
okay
anonymous
  • anonymous
Go back through everything I wrote a little at a time and think about it. I'm sure you'll figure it out.
anonymous
  • anonymous
is the time 4:00 a.m.?

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