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В решении.
Пошаговое объяснение:
Расстояние по трассе между двумя посёлками 1540 м. Из этих посёлков одновременно навстречу друг другу выехали два велосипедиста. Скорость первого равна 3 м/с, скорость второго 4 м/с. Какое расстояние будет между велосипедистами через 3 мин после начала движения? Через какое время после начала движения велосипедисты встретятся?
Формула движения: S=v*t
S - расстояние v - скорость t – время
3 минуты=60*3=180 секунд.
1)Найти расстояние 1 велосипедиста:
3*180=540 (м).
2)Найти расстояние 2 велосипедиста:
4*180=720 (м).
3)Какое расстояние будет между велосипедистами через 3 мин после начала движения?
1540 - (540+720)= 280 (м).
4)Через какое время после начала движения велосипедисты встретятся?
Общее расстояние 1540 м.
Общая скорость 3+4=7 (м/сек).
Общее время: 1540 : 7 = 220 (сек.)
НОК(a, b) = 3 * 5² * 7 = 525
2) НОД(а, b) = 2² * 3² * 5² = 900
НОК(a, b) = 2³ * 3³ * 5⁴ = 135000