Question

Из пункта А в пункт Б в 10 часов утра выехал велосипедист со скоростью 15 км/ч. Навстречу ему из пункта Б в то же самое время вышел пешеход со скоростью 5 км/ч.В 2 часа дня они встретились.Найди расстояние от пункта А до пункта Б. Сколько времени были в пути пешеход и велосипедист?

Answer 1

Ответ:

80км

Пошаговое объяснение:

t=4ч (14.00-10.00=4ч)

L1=15×4=60км

L2=5×4=20км

L=60+20=80км

Answer 2

Problem Analysis

We are given that a cyclist leaves point A at 10:00 AM with a speed of 15 km/h, and at the same time, a pedestrian leaves point B with a speed of 5 km/h. They meet at 2:00 PM. We need to find the distance between point A and point B and the total time taken by the cyclist and pedestrian.

Distance Calculation

To find the distance between point A and point B, we can use the formula:

Distance = Speed × Time

Let's calculate the distance traveled by the cyclist and pedestrian separately.

The cyclist travels for 4 hours (from 10:00 AM to 2:00 PM) at a speed of 15 km/h:

Distance traveled by cyclist = 15 km/h × 4 h = 60 km.

Similarly, the pedestrian also travels for 4 hours at a speed of 5 km/h:

Distance traveled by pedestrian = 5 km/h × 4 h = 20 km.

Therefore, the distance between point A and point B is the sum of the distances traveled by the cyclist and pedestrian:

Distance from point A to point B = Distance traveled by cyclist + Distance traveled by pedestrian = 60 km + 20 km = 80 km.

So, the distance from point A to point B is 80 km.

Time Calculation

To find the total time taken by the cyclist and pedestrian, we can use the formula:

Time = Distance / Speed

Let's calculate the time taken by the cyclist and pedestrian separately.

The cyclist travels a distance of 60 km at a speed of 15 km/h:

Time taken by cyclist = 60 km / 15 km/h = 4 hours.

Similarly, the pedestrian travels a distance of 20 km at a speed of 5 km/h:

Time taken by pedestrian = 20 km / 5 km/h = 4 hours.

Therefore, the total time taken by the cyclist and pedestrian is the sum of their individual times:

Total time taken = Time taken by cyclist + Time taken by pedestrian = 4 hours + 4 hours = 8 hours.

So, the cyclist and pedestrian were in transit for 8 hours.

Summary

- The distance from point A to point B is 80 km. - The cyclist and pedestrian were in transit for 8 hours.

Please let me know if anything is unclear or if you need further assistance!