Question

Из деревни иванищево в село михайловское в 8 часов утра вышел пешеод, а в 14 часов в том же направление выехал велосипедист. через какое время велосиедист догонит пешехода, если пешеход идет со скоростью 3 км/ч, а велосипедист едет со скоростью 12 км/ч?

Answer 1

14-8=6ч - успел пройти пешеход

3*6=18км -успел пройти пешеход

12-3=9км/ч - скоросит сближения

18:9=2ч

 

Ответ: через 2 часа велосиедист догонит пешехода.

Answer 2

To solve this problem, we need to find the time it takes for the cyclist to catch up to the pedestrian. We can use the formula:

Time = Distance / Speed

Let's calculate the distance first. The distance between the two locations is not given, but we can assume it is the same for both the pedestrian and the cyclist since they are traveling in the same direction.

Let's assume the distance between Ivanishchevo and Mikhaylovskoye is D kilometers.

Calculating the time for the pedestrian:

The pedestrian is walking at a speed of 3 km/h. The time taken by the pedestrian to cover the distance D is:

Time for pedestrian = D / 3

Calculating the time for the cyclist:

The cyclist is riding at a speed of 12 km/h. The time taken by the cyclist to cover the distance D is:

Time for cyclist = D / 12

Since the cyclist starts 6 hours after the pedestrian, we need to add 6 hours to the time taken by the cyclist.

Total time for cyclist = Time for cyclist + 6

Now, we need to find the time at which the cyclist catches up to the pedestrian. This occurs when the time taken by the cyclist is equal to the time taken by the pedestrian.

Total time for cyclist = Time for pedestrian

Let's substitute the values and solve for D:

(D / 12) + 6 = D / 3

Simplifying the equation:

D / 12 + 6 = D / 3

Multiply both sides by 12 to eliminate the fractions:

D + 72 = 4D

Subtract D from both sides:

72 = 3D

Divide both sides by 3:

D = 24

Therefore, the distance between Ivanishchevo and Mikhaylovskoye is 24 kilometers.

Now, let's calculate the time it takes for the cyclist to catch up to the pedestrian:

Time for cyclist = D / 12 = 24 / 12 = 2 hours

So, the cyclist will catch up to the pedestrian after 2 hours.

Please note that the above calculations assume a constant speed for both the pedestrian and the cyclist throughout their journey.