Question

В 8 ч утра от пристани отошёл теплоход.Навстречу ему в это же время от другой пристани,отстоящей от первой на 150км пути,отправился катер.Теплоход шёл со скоростью 35км/ч,а катер - 40км/ч.В какое время произошла встреча теплохода с катером?На сколько километров больше пройдёт катер,чем теплоход?

Answer 1

35+40=75 км/час скорость сближения
150:75=2 часа через это время произошла встреча
8+2=10 часов в это время произошла встреча
35*2=70 км пройдёт теплоход
40*2=80 км пройдёт катер
80-70=10 км больше пройдёт катер
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Answer 2

Problem Analysis

We are given that a ship departs from one port at 8:00 AM and a boat departs from another port, 150 km away, at the same time. The ship travels at a speed of 35 km/h, and the boat travels at a speed of 40 km/h. We need to determine the time at which the ship and the boat meet, as well as the distance the boat travels more than the ship.

Calculation

Let's calculate the time it takes for the ship and the boat to meet.

The ship is traveling at a speed of 35 km/h, and the boat is traveling at a speed of 40 km/h. Since they are traveling towards each other, their relative speed is the sum of their individual speeds:

Relative speed = 35 km/h + 40 km/h = 75 km/h

The distance between the two ports is 150 km. To find the time it takes for the ship and the boat to meet, we can use the formula:

Time = Distance / Speed

Time = 150 km / 75 km/h = 2 hours

Therefore, the ship and the boat will meet 2 hours after they depart from their respective ports.

To find the distance the boat travels more than the ship, we can multiply the time it takes for them to meet by the boat's speed:

Distance = Time * Speed

Distance = 2 hours * 40 km/h = 80 km

Therefore, the boat will travel 80 km more than the ship.

Answer

The ship and the boat will meet 2 hours after they depart from their respective ports. The boat will travel 80 km more than the ship.