Question

Відстань між двома селами 48 км . З одного села їхав велосипедист. Одночасно назустріч йому з іншого села виїхав гусеничний трактор. Швидкість велосипедиста 14 км/год, а трактора 10 км/годю Через скільки годин вини зустрінуться?

Answer 1

14+10=24(км)-они проедут за час 24+24=48(км)-за 2 часа Встретятся через 2 часа

Answer 2

Problem Analysis

We are given that the distance between two villages is 48 km. A cyclist is traveling from one village at a speed of 14 km/h, while a tractor is traveling from the other village towards the cyclist at a speed of 10 km/h. We need to determine how many hours it will take for them to meet.

Solution

To solve this problem, we can use the formula: time = distance / speed.

Let's denote the time it takes for the cyclist and the tractor to meet as t.

The distance traveled by the cyclist in time t is given by: distance = speed * time.

The distance traveled by the tractor in time t is also given by: distance = speed * time.

Since the total distance between the two villages is 48 km, we can write the equation: distance traveled by the cyclist + distance traveled by the tractor = total distance.

Substituting the values we have, we get: 14t + 10t = 48.

Simplifying the equation, we have: 24t = 48.

Dividing both sides of the equation by 24, we find: t = 2.

Therefore, it will take 2 hours for the cyclist and the tractor to meet.

Answer

The cyclist and the tractor will meet after 2 hours.

Verification

Let's verify our answer using the given information.

The cyclist's speed is 14 km/h, so in 2 hours, the cyclist will travel a distance of 14 km/h * 2 h = 28 km.

The tractor's speed is 10 km/h, so in 2 hours, the tractor will travel a distance of 10 km/h * 2 h = 20 km.

The total distance traveled by both the cyclist and the tractor is 28 km + 20 km = 48 km, which matches the total distance between the two villages.

Therefore, our answer is correct.

Conclusion

The cyclist and the tractor will meet after 2 hours.