The two boats are running at equal speeds. If the first decreases the speed by 1 km / h, and the second increases

The two boats are running at equal speeds. If the first decreases the speed by 1 km / h, and the second increases the speed by 2 km / h, then the first will travel 35 km more in 5 hours than the second in 3 hours. How fast are the boats going?

To solve this problem, we introduce a conditional variable “X”, through which we denote the speed with which both boats are moving. Then, based on the data of the problem, we will compose the following equation: 5 (X – 1) – 3 (X + 2) = 35. Solving this equation, we get 5X – 5 – 3X – 6 = 35 or 2X – 11 = 35 or 2X = 46 or X = 23 kilometers per hour. Answer: both boats were moving at a speed of 23 kilometers per hour.