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tiny-mole [99]
3 years ago
8

Carmen rides her bicycle at a constant rate to the market. When she rides her bicycle back home along the same route, she bikes

at three-quarters the rate she biked to the market. At any given time, t, the distance biked can be calculated using the formula d = rt, where d represents distance and r represents rate. If the trip home takes 12 minutes longer than the trip to the market, how many minutes does it take Carmen to bike home?
Mathematics
1 answer:
prisoha [69]3 years ago
7 0
We will use the equation:
r t = 3/4 r ( t+12 )    /:r
t = 3/4 t + 9
t - 3/4 t = 9
1/4 t = 9
t = 9 * 4 = 36 minutes ( takes a trip to the market )
36 + 12 = 48 minutes
The ride home takes 48 minutes.
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