Question

В 12 часов дня из поселка вышла группа туристов со скоростью 4 км\ч. Через 2 часа вслед им вышла другая группа туристов со скоростью 6 км\ч. В котором часу вторая группа догонит первую?

Answer 1

6 км/час-4 км/час=2 км/час (скорость, с какой вторая группа догоняет первую)
4 км/час *2 час=8 км (прошла 1-я до выхода 2-й) (S=Vt)
8 км:2 км/час=4 час (t=S:V) (12:00+4:00=16:00)
Ответ: вторая группа догонит первую в 4 часа дня (в 16:00)

Answer 2

Calculating When the Second Group Overtakes the First

To calculate when the second group of tourists will overtake the first group, we can use the formula: time = distance/speed.

The first group travels at a speed of 4 km/h, and after 2 hours, the second group, traveling at 6 km/h, sets out to catch up. We can calculate the distance the first group covers in 2 hours and then use this distance to determine when the second group catches up.

Calculating the Distance Covered by the First Group

The distance covered by the first group in 2 hours can be calculated using the formula: distance = speed * time. - For the first group: distance = 4 km/h * 2 h = 8 km.

Calculating When the Second Group Overtakes the First

Now, we can calculate when the second group catches up to the first group using the relative speed of the second group compared to the first group. - Relative speed = 6 km/h - 4 km/h = 2 km/h. - Time taken to catch up = distance/relative speed = 8 km / 2 km/h = 4 hours.

Therefore, the second group will overtake the first group 4 hours after they set out, at 4:00 PM.