The beardless sly man Aldar-Kose lived in one aul. His eyes were sharp, his legs were quick, his hands were agile, and his mind was even more agile. Aldar-Kose loved to joke and laugh, especially at fools and misers. He had no wealth, but by cunning he did not get himself a meal of fat ram.
Zhatyr-bai was a greedy and stupid person. His flocks were large: he would start counting at dawn, and finish at dusk. Once Aldar-Kose came to him and said:
- Honorable buy, I have two rubles, but no wallet. I walk, hold the money in my hand - my hand is tired. I want to get rid of this money. Will you help me?
- Come on, come on, I will help! - buy was delighted. - Just tell me how?
“Sell me some poor little goat for two rubles,” says Aldar-Kose.
Thought, thought buy: "Well, you can sell." He caught a lame goat in the herd, skinny, barely alive, which had only two days left to die, and gave to Aldar-Kose:
- Here, take it, although it's a pity to give it away cheaply. Good kid. Give me two rubles!
Aldar-Kose took a goat, and keeps money in his fist:
- You know what, honorable buy. I changed my mind. Take two rubles and a kid to boot, and give me a lamb.
“Well, not a bad exchange,” thought Bay, “two rubles and even a kid to boot!” - and went to catch the lamb. Caught the smallest and serves Aldar-Kose:
- Here, take it. Nice lamb. Give me two rubles and a kid.
Aldar-Kose took the lamb, but he holds the money in his fist and does not let go of the goat:
- You know what, honorable buy. I changed my mind. Take two rubles, a kid and a lamb to boot, and give me a goat.
"Not a bad exchange," thought Bay, "two rubles and a goat, and even a lamb to boot." And he went to catch a goat. He caught the thinnest one and serves to Aldar-Kose:
- Here, take it, good goat. Give me two rubles, a kid and a lamb.
- Wait, wait, respectable bay! - says Aldar-Kose. - I changed my mind. Take two rubles, a kid, a lamb and a goat in addition, and give me only one ram, but let me choose it myself.
“This exchange is more profitable than all the others! - thought the delighted buy. - Two rubles, a kid, a lamb and even a goat to boot - and all this for one ram! And he says to Aldar-Kose:
- Well, choose!
He chose Aldar-Kose for himself the biggest, fatty ram, gave the bai two rubles, a kid, a lamb and a goat in addition, put the ram on his shoulders and went, and bai Zhatyr-bai laughed, rubbing his hands:
- What a fool Aldar-Kose! He gave so much good for just one ram!
Bay did not understand which of them was the fool.
Если бы скорости поездов были одинаковы, то поезда встретились бы на середине расстояния между городами, т.е. каждый бы до момента встречи (через 10 ч):
s=1580:2=790 км.
Но т.к. скорость одного поезда на 6 км/ч больше, чем другого, то за 10 часов этот поезд на 6 км/ч*10 ч=60 км больше, чем второй. Точка встречи поездов смещена от середины пути на вот эти 60 км. Половину этих 60 км - 30 км "быстрый" поезд, и половину "недошел" другой, более медленный.
Т.о. первый поезд ("быстрый" до места встречи расстояние:
s₁=790 км + 60:2 км = 790+30=820 км,
второй поезд ("медленный" до места встречи расстояние
s₂=790 км - 60:2 км = 790-30=760 км.
А, т.к. оба расстояния пройдены за одинаковое время 10 ч, то скорости:
The beardless sly man Aldar-Kose lived in one aul. His eyes were sharp, his legs were quick, his hands were agile, and his mind was even more agile. Aldar-Kose loved to joke and laugh, especially at fools and misers. He had no wealth, but by cunning he did not get himself a meal of fat ram.
Zhatyr-bai was a greedy and stupid person. His flocks were large: he would start counting at dawn, and finish at dusk. Once Aldar-Kose came to him and said:
- Honorable buy, I have two rubles, but no wallet. I walk, hold the money in my hand - my hand is tired. I want to get rid of this money. Will you help me?
- Come on, come on, I will help! - buy was delighted. - Just tell me how?
“Sell me some poor little goat for two rubles,” says Aldar-Kose.
Thought, thought buy: "Well, you can sell." He caught a lame goat in the herd, skinny, barely alive, which had only two days left to die, and gave to Aldar-Kose:
- Here, take it, although it's a pity to give it away cheaply. Good kid. Give me two rubles!
Aldar-Kose took a goat, and keeps money in his fist:
- You know what, honorable buy. I changed my mind. Take two rubles and a kid to boot, and give me a lamb.
“Well, not a bad exchange,” thought Bay, “two rubles and even a kid to boot!” - and went to catch the lamb. Caught the smallest and serves Aldar-Kose:
- Here, take it. Nice lamb. Give me two rubles and a kid.
Aldar-Kose took the lamb, but he holds the money in his fist and does not let go of the goat:
- You know what, honorable buy. I changed my mind. Take two rubles, a kid and a lamb to boot, and give me a goat.
"Not a bad exchange," thought Bay, "two rubles and a goat, and even a lamb to boot." And he went to catch a goat. He caught the thinnest one and serves to Aldar-Kose:
- Here, take it, good goat. Give me two rubles, a kid and a lamb.
- Wait, wait, respectable bay! - says Aldar-Kose. - I changed my mind. Take two rubles, a kid, a lamb and a goat in addition, and give me only one ram, but let me choose it myself.
“This exchange is more profitable than all the others! - thought the delighted buy. - Two rubles, a kid, a lamb and even a goat to boot - and all this for one ram! And he says to Aldar-Kose:
- Well, choose!
He chose Aldar-Kose for himself the biggest, fatty ram, gave the bai two rubles, a kid, a lamb and a goat in addition, put the ram on his shoulders and went, and bai Zhatyr-bai laughed, rubbing his hands:
- What a fool Aldar-Kose! He gave so much good for just one ram!
Bay did not understand which of them was the fool.
82 км/ч и 76 км/ч
Пошаговое объяснение:
Если бы скорости поездов были одинаковы, то поезда встретились бы на середине расстояния между городами, т.е. каждый бы до момента встречи (через 10 ч):
s=1580:2=790 км.
Но т.к. скорость одного поезда на 6 км/ч больше, чем другого, то за 10 часов этот поезд на 6 км/ч*10 ч=60 км больше, чем второй. Точка встречи поездов смещена от середины пути на вот эти 60 км. Половину этих 60 км - 30 км "быстрый" поезд, и половину "недошел" другой, более медленный.
Т.о. первый поезд ("быстрый" до места встречи расстояние:
s₁=790 км + 60:2 км = 790+30=820 км,
второй поезд ("медленный" до места встречи расстояние
s₂=790 км - 60:2 км = 790-30=760 км.
А, т.к. оба расстояния пройдены за одинаковое время 10 ч, то скорости:
v₁=820:10=82 км/ч
v₂=760:10=76 км/ч