The distance between lines A and B is 161 km. a boat escaped from pier A with a speed of 40 km / h.

| May 19, 2021 | education

The distance between lines A and B is 161 km. a boat escaped from pier A with a speed of 40 km / h. 24 minutes later from pier B another boat departed, the speed of which is 35 km / h. How long after the departure of the first boat did they meet?

1) Let us express 24 minutes in hours (24 minutes = 0.4 hours) and find the distance that the first boat traveled during this time on its own: 40 · 0.4 = 16 (km);

2) Let us subtract the path of the first boat from the total distance and determine how many kilometers the boats covered simultaneously before the meeting: 161 – 16 = 145 (km);

3) 40 + 35 = 75 (km / h) – the total speed of the boats towards each other;

4) Find out the time since the start of the movement of the second boat, through which the meeting took place: 145: 75 = 1 14/15 h = 1 h 56 min;

5) Let us determine how long after the departure of the first boat the meeting of the boats took place: 1 h 56 min + 24 min = 2 h 20 min.

Answer: the boats met 2 hours 20 minutes after the departure of the first boat.



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