Question

Из города в противоположных направлениях одновременно выехали два мотоциклиста. Какое расстояние будет между ними через 3 ч, если их скорости 60 км/чи 40 км/ч? решить надо 2 способами.

Answer 1

Ответ:

300 км.

Пошаговое объяснение:

1 способ.

1) 60+40=100 (км)- расстояние между мотоциклистами за 1 час.

2) 100x3=300(км) - расстояние между мотоциклистами за 3 часа.

2 способ.

1) 60x3=180 (км)- проезжает 1 мотоциклист за 3 часа.

2) 40x3=120 (км)- проезжает 2 мотоциклист за 3 часа.

3) 180+120=300 (км)- расстояние между мотоциклистами за 3 часа.

ОТВЕТ: 300 км.

Answer 2

Calculation using Relative Speed:

To find the distance between the two motorcyclists after 3 hours, we can use the concept of relative speed. The relative speed is the difference between the speeds of the two objects.

Let's denote the speed of the first motorcyclist as v1 (60 km/h) and the speed of the second motorcyclist as v2 (40 km/h).

The relative speed between the two motorcyclists is given by the equation:

Relative Speed = v1 - v2

Substituting the given values, we have:

Relative Speed = 60 km/h - 40 km/h = 20 km/h

Now, we can calculate the distance between the two motorcyclists after 3 hours using the formula:

Distance = Relative Speed × Time

Substituting the values, we have:

Distance = 20 km/h × 3 h = 60 km

Therefore, the distance between the two motorcyclists after 3 hours is 60 km.

Calculation using Individual Distances:

Another way to solve this problem is by calculating the distances traveled by each motorcyclist individually.

Let's denote the speed of the first motorcyclist as v1 (60 km/h) and the speed of the second motorcyclist as v2 (40 km/h).

The distance traveled by the first motorcyclist after 3 hours is given by the equation:

Distance1 = v1 × Time

Substituting the values, we have:

Distance1 = 60 km/h × 3 h = 180 km

Similarly, the distance traveled by the second motorcyclist after 3 hours is given by the equation:

Distance2 = v2 × Time

Substituting the values, we have:

Distance2 = 40 km/h × 3 h = 120 km

To find the distance between the two motorcyclists, we subtract the distance traveled by the second motorcyclist from the distance traveled by the first motorcyclist:

Distance = Distance1 - Distance2

Substituting the values, we have:

Distance = 180 km - 120 km = 60 km

Therefore, the distance between the two motorcyclists after 3 hours is 60 km.

Both methods yield the same result, confirming that the distance between the two motorcyclists after 3 hours is indeed 60 km.

Please let me know if there's anything else I can help you with!