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Castel traveled to the lake and back. It took 1.1 hours longer to go there than it did to come back. The average speed on the trip there was 47.5 mph, and the average speed on the way back was 75 mph. How many hours did the trip there take?

Answer :

Going: x

Coming back: y = x - 1.1

Speed (going): s = 47.5mph

Speed (coming back): 75mph

distance is the same

distance = speed * time

47.5 * x = 75(x - 1.1)

47.5x = 75x - 82.5

75x - 45x = 82.5

30x = 82.5

x = 2.75 hrs

Therefore, it took him 2¾hrs to get to where he was going

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