Question

От поселка до озера 15 км. Из поселка вышел пеше¬ход, скорость которого 6 км/ч. Через 1,5 ч вслед за ним выехал велосипедист, скорость которого 10 км/ч. Кто быстрее доберется до озера и на сколько?

Answer 1

1)  6 х 1,5 = 9км - прошел пешеход за 1,5 часа

2) 15 :10 = 1,5 час - время за которое доедет велосипедист до озера

3) 15 -9 = 6 км - осталось пройти пешеходу

4) 6 :6 = 1 час - время, которое потребуется, чтобы дойти до озера

5) 1,5 -1 =0,5 часа или 30 мин -придет пешеход раньше

Answer 2

Problem Analysis

We have a pedestrian and a cyclist traveling from a village to a lake. The distance between the village and the lake is 15 km. The pedestrian's speed is 6 km/h, and the cyclist's speed is 10 km/h. We need to determine who will reach the lake faster and by how much.

Solution

To find out who will reach the lake faster, we can calculate the time it takes for each person to travel the distance.

Let's start with the pedestrian. The pedestrian's speed is 6 km/h, and the distance is 15 km. We can use the formula `time = distance / speed` to calculate the time it takes for the pedestrian to reach the lake.

For the cyclist, we can use the same formula with the cyclist's speed of 10 km/h.

Let's calculate the time for each person.

Calculation

For the pedestrian: - Distance: 15 km - Speed: 6 km/h - Time = Distance / Speed = 15 km / 6 km/h = 2.5 hours

For the cyclist: - Distance: 15 km - Speed: 10 km/h - Time = Distance / Speed = 15 km / 10 km/h = 1.5 hours

Answer

Based on the calculations, the cyclist will reach the lake faster than the pedestrian. The cyclist will take 1.5 hours to reach the lake, while the pedestrian will take 2.5 hours.

Therefore, the cyclist will reach the lake 1 hour faster than the pedestrian.

Conclusion

In this scenario, the cyclist is faster than the pedestrian and will reach the lake 1 hour earlier.