Question 433161
 Ivanna can jog to work in 3/4 of an hour. When she rides her bike, it takes her 1/3 of an hour. If she rides miles 9 per hour faster than she jogs, how far away is her work? 
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Jogging DATA:
time = 3/4 hr; rate = x mph ; distance = rt = (3/4)x miles
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Riding DATA:
time = 1/3 hr; rate = x+9 mph ; distance = rt = (1/3)(x+9) miles
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Equation:
distance = distance
(3/4)x = (1/3)(x+9)
Multiply both sides by 12 to get:
9x = 4x+36
5x = 36
x = 36/5 = 7 1/5 miles (distance to work)
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Cheers,
Stan H.
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