Question

Из пункта A в пункт Bс постоянной скоростью выехал велосипедист. Одновременно с ним из пункта Bв пункт A с постоянными скоростями вышли два пешехода, причём скорость первого пешехода больше скорости второго пешехода в полтора раза. Велосипедист встретился с первым пешеходом через 5 часов, а со вторым — ещё через 50 минут. Во сколько раз скорость велосипедиста больше скорости второго пешехода?

Answer 1

Х- скорость П2
1,5х- скорость П1
у- скорость велосипедиста
5 5/6(у+х)=5(у+1,5х)
5 5/6у+5 5/6х=5у+7,5х
5/6у=7 1/2х-35/6х
5/6у=10/6х
1/6у=2/6х
то есть у больше х в 2 раза
ответ: в 2 раза

Answer 2

Problem Analysis

We are given that a cyclist travels from point A to point B at a constant speed. At the same time, two pedestrians start from point B and walk towards point A at different speeds. The speed of the first pedestrian is 1.5 times the speed of the second pedestrian. The cyclist meets the first pedestrian after 5 hours and the second pedestrian after an additional 50 minutes. We need to determine the ratio of the cyclist's speed to the speed of the second pedestrian.

Solution

Let's assume the speed of the second pedestrian is x units per hour. Then the speed of the first pedestrian is 1.5x units per hour.

We can calculate the distance between point A and point B using the formula distance = speed × time.

The cyclist meets the first pedestrian after 5 hours, so the distance traveled by the cyclist is 5 × cyclist's speed.

The cyclist meets the second pedestrian after an additional 50 minutes, which is equal to 50/60 = 5/6 hours. So, the total time taken by the cyclist to meet the second pedestrian is 5 + 5/6 = 31/6 hours.

Let's calculate the distance traveled by the cyclist to meet the second pedestrian: distance = (31/6) × cyclist's speed.

Since the distance traveled by the cyclist is the same in both cases, we can equate the two distances and solve for the cyclist's speed.

5 × cyclist's speed = (31/6) × cyclist's speed

Dividing both sides of the equation by the cyclist's speed: 5 = 31/6

Multiplying both sides of the equation by 6: 30 = 31

This is a contradiction, so there is no solution to the problem. The given information is inconsistent.

Therefore, we cannot determine the ratio of the cyclist's speed to the speed of the second pedestrian.

Answer

The ratio of the cyclist's speed to the speed of the second pedestrian cannot be determined due to inconsistent information provided in the problem.