Question

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?

Answer 1

D, 48

Explanation:

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Answer 2

It can be easily assumed that most information's are already given in the question. Based on those information's, the answer can be deduced.

rt = [(3/4)r] * (t + 12)
4rt = 3r (t + 12)
4rt = 3rt + 36r
4rt - 3rt = 36r
rt = 36r
t = 36
From the above deduction we can conclude that the time taken by Carmen to ride to the market is 36 minutes
Then
Time taken by Carmen to ride home = 36 + 12 = 48 minutes