Question

Из двух населённых пунктов одновременно навстречу выехали два велосипедиста.Скорость одного-14км/ч,а другого-10км/ч. Каково расстояние между населёнными пунктами,если через 3 часа велосипедисты встретились?На сколько километров они станут ближе через 1 час?через полчаса? Ответ и решения сразу

Answer 1

V сближения = 14 + 10 = 24 км/ч.

Расстояние между населёнными пунктами = 24 * 3 = 72 км.

На сколько км. они станут ближе через 1 час? 24 * 1 = 24 км - они станут ближе на 24 км.

Через полчаса? - 24 : 2 (поскольку 24 км/ч : 2 = 12 км/полчаса) = 12 км - они станут ближе на 12 км.

Ответ: 72 км; 24 км; 12 км.

Answer 2

Problem Setup

Two cyclists are traveling towards each other from two different towns. One cyclist has a speed of 14 km/h, and the other has a speed of 10 km/h. They meet after 3 hours.

Solution

To find the distance between the two towns, we can use the formula: distance = speed × time

For the first cyclist: distance1 = 14 km/h × 3 h = 42 km

For the second cyclist: distance2 = 10 km/h × 3 h = 30 km

The total distance between the two towns is the sum of the distances covered by both cyclists: total distance = distance1 + distance2 = 42 km + 30 km = 72 km

Therefore, the distance between the two towns is 72 kilometers.

Additional Questions

1. On how many kilometers will they become closer after 1 hour? - After 1 hour, the first cyclist will have covered 14 km, and the second cyclist will have covered 10 km. The total distance between them will be the difference between the initial distance and the sum of the distances covered by both cyclists in 1 hour. - New distance = 72 km - (14 km + 10 km) = 72 km - 24 km = 48 km - Therefore, they will be 48 kilometers closer after 1 hour.

2. On how many kilometers will they become closer after half an hour? - After half an hour, the first cyclist will have covered 7 km, and the second cyclist will have covered 5 km. The total distance between them will be the difference between the initial distance and the sum of the distances covered by both cyclists in half an hour. - New distance = 72 km - (7 km + 5 km) = 72 km - 12 km = 60 km - Therefore, they will be 60 kilometers closer after half an hour.