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anonymous

  • 4 years ago

Ben and Chris start at the same time from places 96 miles apart to cycle toward one another, Ben at 16 mi/h and Christ at 12 mi/h. If Ben rests for 30 minutes on the way, after how many hours will they meet?

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  1. anonymous
    • 4 years ago
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    ...

  2. dumbcow
    • 4 years ago
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    d = r*t --> 16(t-.5) + 12t = 96 28t -8 = 96 28t = 104 t = 3.714

  3. anonymous
    • 4 years ago
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    i think we should not subtract 0.5 but add, since it's part of the travel. . ?

  4. anonymous
    • 4 years ago
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    Is it?

  5. anonymous
    • 4 years ago
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    |dw:1328417190484:dw| rest is part of the travel. even Ben is resting for 30 mins. , Chris is still moving. . therefor, the rest is still part of travel..

  6. dumbcow
    • 4 years ago
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    No its "t-0.5" because Ben is traveling 30 min less than Chris Chris is traveling 12 mph for t hours Ben is traveling at 16 mph for (t-.5) hours If he did not stop for 30 min, it would take longer for them to meet not shorter

  7. dumbcow
    • 4 years ago
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    **oops "If he did not stop for 30 min, it would take longer for them to meet not shorter" i meant If he did not stop for 30 min, it would take shorter for them to meet not longer

  8. anonymous
    • 4 years ago
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    the speed is constant. . even though ben is resting, chris is still moving. therefor rest is still part of travel

  9. dumbcow
    • 4 years ago
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    think of it this way, if Ben had not stopped he would have gone farther right 16(t-.5) < 16t < 16(t+.5) we want the situation where Ben has traveled less distance not more

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