Question 934903: Terry and Tao are canoeing on a lake that is 2000 meters across from the west side of the lake to the east side. Terry rows at 60 miles per minute and Tao rows at 40 miles per minute. Terry starts rowing at 2 pm from the west end of the lake, and Tao starts rowing from the east end of the lake at 2:05 pm. If they always row directly towards each other at what time will the two meet?
Thank you.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Terry and Tao are canoeing on a lake that is 2000 meters across from the west side of the lake to the east side.
Terry rows at 60 m per minute and Tao rows at 40 m per minute.
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Terry starts rowing at 2 pm from the west end of the lake, and Tao starts rowing from the east end of the lake at 2:05 pm.
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Terry DATA:
rate = 60 meter/min ; time = x min ; distance = r*t = 60x meters
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Tao DATA:
rate = 40 meter/min ; time = x-5 min ; distance = r*t = 40(x-5) meters
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If they always row directly towards each other at what time will the two meet?
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Equation:
dist + dist = 2000 meters
60x + 40(x-5) = 2000
20x = 1800
x = 90 minutes
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Ans: 2:00PM + 90 min = 3:30PM
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Cheers,
Stan H.
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