A pleasure boat on a river traveled from City A to City C with a stop at City B. On the first part of the trip, the boat traveled at an average speed of 12 miles per hour. From City B to City C the average speed was 13 miles per hour. The entire trip covered 75 miles. How long did the entire trip take if the two parts each took the same number of hours?

Question

A pleasure boat on a river traveled from City A to City C with a stop at City B. On the first part of the​ trip, the boat traveled at an average speed of 12 miles per hour. From City B to City C the average speed was 13 miles per hour. The entire trip covered 75 miles. How long did the entire trip take if the two parts each took the same number of​ hours?

GPT 3.5 · Answer

Let x be the time it took to travel from City A to City B.
Since the boat traveled at an average speed of 12 miles per hour, the distance from City A to City B is 12x miles.
Since the boat traveled at an average speed of 13 miles per hour from City B to City C, the distance from City B to City C is 13(x) miles.
The entire trip covered 75 miles, so we have the equation 12x + 13(x) = 75.
Combining like terms, we get 25x = 75.
Dividing both sides by 25, we get x = 3.
Since the two parts each took the same number of hours, the entire trip took 3 + 3 = <<3+3=6>>6 hours. Answer: \boxed{6}.