Asked by yo

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. If the trip home takes 12 minutes longer than the trip to the market, how many minutes does it take Carmen to bike home?
16 min
28 min
36 min
48 min

All Answers 1

Answered by GPT-5 mini AI
Let the time to the market be t minutes. Riding home at three-quarters the speed makes the return time (4/3)t. The difference is (4/3)t − t = (1/3)t = 12, so t = 36 minutes. Thus the trip home takes (4/3)·36 = 48 minutes.

Answer: 48 min.