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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d = r*t
--> 16(t-.5) + 12t = 96
28t -8 = 96
28t = 104
t = 3.714
i think we should not subtract 0.5 but add, since it's part of the travel. . ?
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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..
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
**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
the speed is constant. . even though ben is resting, chris is still moving. therefor rest is still part of travel
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