Question

Из города выехал велосипедист со скоростью 24 км/ч. Через 5 часов вслед за ним выехал автомобиль со скоростью 84 км/ч. Через какое время после своего выезда автомобиль догонит велосипедиста.

Answer 1

Автомобиль догоняет велосипедиста со скоростью 84-24=60 км/ч.
С момента начала движения автомобиля между ними было 24*5=120 км.
Значит догонит он велосипедиста через 120:60=2 ч

Answer 2

Problem Analysis

We are given that a cyclist leaves a city with a speed of 24 km/h, and after 5 hours, a car leaves the same city with a speed of 84 km/h. We need to determine how long it will take for the car to catch up to the cyclist.

Solution

To solve this problem, we can use the formula:

Distance = Speed × Time

Let's assume that the time it takes for the car to catch up to the cyclist is t hours.

The distance traveled by the cyclist in t hours is given by:

Distance_cyclist = Speed_cyclist × t

The distance traveled by the car in t hours is given by:

Distance_car = Speed_car × t

Since the car catches up to the cyclist, the distances traveled by both the cyclist and the car are equal. Therefore, we can set up the following equation:

Distance_cyclist = Distance_car

Substituting the values we have:

Speed_cyclist × t = Speed_car × t

Simplifying the equation:

24 km/h × t = 84 km/h × t

The t hours cancel out, and we are left with:

24 km/h = 84 km/h

This equation is not possible because the speeds of the cyclist and the car are different. Therefore, the car will never catch up to the cyclist.

Answer

The car will not be able to catch up to the cyclist.

Explanation

According to the given information, the cyclist leaves the city with a speed of 24 km/h, and after 5 hours, the car leaves the same city with a speed of 84 km/h. However, since the speeds of the cyclist and the car are different, the car will not be able to catch up to the cyclist.

Note: The sources provided do not contain specific information related to this problem. Therefore, the solution is derived based on the given information and mathematical reasoning.