Two motor ships were at points A and B at a distance of 30 km from each other and sailed in opposite directions

Two motor ships were at points A and B at a distance of 30 km from each other and sailed in opposite directions. At what distance from each other will the ships be in one hour if one sailed at a speed of 10 km / h and the other 6 km / h.

According to the condition of the problem, the flow is not indicated, therefore, we will assume that the motor ships moved along the lake, where there is no current.

Since, according to the condition of the problem, it is said that they sailed in opposite directions, then two options are possible: 1) if the ships were moving in opposite directions and 2) when the ships were moving towards each other. Let’s consider both cases.

1 case.

1) Since the motor ships move in opposite directions, their removal speed is equal to:

10 + 6 = 16 (km / h).

2) Let’s find the distance at which the ships will move away from each other in 1 hour:

16 * 1 = 16 (km).

3) Find the distance between the ships:

30 + 16 = 46 (km)

Answer: 46 km.

2 case.

1) Since the ships move towards each other towards each other, the speed of their approach is equal to:

10 + 6 = 16 (km / h).

2) Let’s find how close the ships will be in 1 hour:

16 * 1 = 16 (km).

3) Let’s find what the distance between the ships will be:

30 – 16 = 14 (km).

Answer: 14 km.