From two berths, the distance between them is 120 km, two boats left at the same time towards each other. one boat passes this distance in 10 hours, and the other in 15 hours. in how many hours the boats will meet.
Let’s solve this task by actions with explanations.
1) 120: 10 = 12 kilometers per hour – the speed of the first boat, since it can cover a distance of 120 kilometers in 10 hours;
2) 120: 15 = 8 kilometers per hour – the speed of the second boat, since it can cover a distance of 120 kilometers in 15 hours;
3) 12 + 8 = 20 kilometers per hour – the speed of convergence of two boats, as they move towards each other;
4) 120: 20 = 6 hours – after this time, two boats will meet, since the distance between them is 120 kilometers, and the speed of convergence is 20 kilometers per hour.
Answer: in 6 hours.
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