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anonymous

  • 5 years ago

train traveling north @ 60mph. one hour later, another train leaves @ 70mph. how far away before second train catches up? t

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  1. anonymous
    • 5 years ago
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    right so this is a bit harder to parse

  2. anonymous
    • 5 years ago
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    so basically the second train has caught up once the distances they've traveled are exactly equal

  3. anonymous
    • 5 years ago
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    ok so in one hour, once the second train leaves, the first train has a 60mph*1hr head start

  4. anonymous
    • 5 years ago
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    so it's gone exactly 60 miles already

  5. anonymous
    • 5 years ago
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    so from that point on, we're basically solving for some time T

  6. anonymous
    • 5 years ago
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    70*T - 60*T = 60 (the head start being 60mph)

  7. anonymous
    • 5 years ago
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    or in time T, when they have traveled the same distance, we know that 70*T = 60 + 60T

  8. anonymous
    • 5 years ago
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    so 70T - 60T = 60 = 10T

  9. anonymous
    • 5 years ago
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    so 10T = 60

  10. anonymous
    • 5 years ago
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    In six hours, they would have traveled the same distance

  11. anonymous
    • 5 years ago
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    so now let's check this:

  12. anonymous
    • 5 years ago
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    In 6 hours from the original 1 hour, the first train has traveled 7hours

  13. anonymous
    • 5 years ago
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    so it's traveled 7 hours * 60mp/h = 420 miles

  14. anonymous
    • 5 years ago
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    the second train has traveled 6 hours total. so 6 hours * 70mph = 420miles

  15. anonymous
    • 5 years ago
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    which is exactly the point the second train passes the first

  16. anonymous
    • 5 years ago
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    make sense?

  17. anonymous
    • 5 years ago
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    yep!!

  18. anonymous
    • 5 years ago
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    awesome =)

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