anonymous
  • anonymous
train traveling north @ 60mph. one hour later, another train leaves @ 70mph. how far away before second train catches up? t
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
right so this is a bit harder to parse
anonymous
  • anonymous
so basically the second train has caught up once the distances they've traveled are exactly equal
anonymous
  • anonymous
ok so in one hour, once the second train leaves, the first train has a 60mph*1hr head start

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anonymous
  • anonymous
so it's gone exactly 60 miles already
anonymous
  • anonymous
so from that point on, we're basically solving for some time T
anonymous
  • anonymous
70*T - 60*T = 60 (the head start being 60mph)
anonymous
  • anonymous
or in time T, when they have traveled the same distance, we know that 70*T = 60 + 60T
anonymous
  • anonymous
so 70T - 60T = 60 = 10T
anonymous
  • anonymous
so 10T = 60
anonymous
  • anonymous
In six hours, they would have traveled the same distance
anonymous
  • anonymous
so now let's check this:
anonymous
  • anonymous
In 6 hours from the original 1 hour, the first train has traveled 7hours
anonymous
  • anonymous
so it's traveled 7 hours * 60mp/h = 420 miles
anonymous
  • anonymous
the second train has traveled 6 hours total. so 6 hours * 70mph = 420miles
anonymous
  • anonymous
which is exactly the point the second train passes the first
anonymous
  • anonymous
make sense?
anonymous
  • anonymous
yep!!
anonymous
  • anonymous
awesome =)

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