Question

От 2х пристаней,находящихся на расстоянии 510 км,отплыли в 7 ч навстречу друг другу катер и моторная лодка. Встреча произошла в 24 ч того же дня. Катер шел со скоростью 19 км/ ч. С какой скоростью шла лодка?

Answer 1

24-7=17(часов,встреча катера и лодки)                                                              17*19=323(км.прошел катер)                                                                              510-323=187(км. прошла лодка)                                                                        187:17=11(км.час скорость лодки)

Answer 2

Problem Analysis

We are given that a boat and a motorboat departed from two piers located 510 km apart and sailed towards each other. They met at 24:00 on the same day. The speed of the boat is given as 19 km/h. We need to determine the speed of the motorboat.

Solution

To solve this problem, we can use the formula:

Distance = Speed × Time

Let's denote the speed of the motorboat as x km/h. We know that the boat and the motorboat sailed towards each other, so their combined distance is equal to the distance between the piers, which is 510 km.

The boat traveled for 7 hours, and the motorboat traveled for 24 - 7 = 17 hours.

Using the formula above, we can set up the following equation:

19 km/h × 7 hours + x km/h × 17 hours = 510 km

Now we can solve this equation to find the speed of the motorboat.

Calculation

Let's solve the equation:

19 km/h × 7 hours + x km/h × 17 hours = 510 km

133 km + 17x km/h = 510 km

17x km/h = 510 km - 133 km

17x km/h = 377 km

x km/h = 377 km / 17

x km/h ≈ 22.18 km/h

Answer

The motorboat was traveling at approximately 22.18 km/h.