Question 247298
Mr. Anders traveled east at 100 kilometers per hour and Ms. Rich traveled west at 80 kilometers per hour. In how many hours were they 100 kilometers apart?
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Draw the picture.
Anders DATA:
rate = 100 km/h ; distance = x km ; time = d/r = x/100 hrs.
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Rich DATA:
rate = 80 km/h ; distance = 100-x km ; time = d/r = (100-x)/80
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Equation:
time = time
x/100 = (100-x)/80
80x = 10,000-100x
180x = 10,000
x = 55.56
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time = x/100 = 0.56 hours (time at which they are separated by 100 km)
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Cheers,
Stan H.