From two cities at the same time two boats came out to meet each other, the speed of a boat in still

From two cities at the same time two boats came out to meet each other, the speed of a boat in still water is 18 km / h How long will they meet if the speed of the river is 2 km / h and the distance between the quays is 72 km?

Let us find the number of kilometers for every 60 minutes the distance between these floating facilities is reduced.

According to the condition of the problem, the 1st and 2nd boats in still water cover a distance of 18 km in 60 minutes.

Since the speed of the river flow is 2 km / h, the boat that floats down the river, in 60 minutes overcomes 18 + 2 = 20 km, and the boat that floats up the river, in 60 minutes overcomes 18 – 2 = 16 km ,

According to the condition of the problem, the boats move towards each other, therefore, every 60 minutes the distance between them decreases by 20 + 16 = 36 km.

Since the distance between the piers, from which the boats sailed at the same time, is 72 km, they will meet in 72/36 = 2 hours.

Answer: the boats will meet in 2 hours.



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