Предмет: Алгебра, автор: seniorabuzin10

два велосипедиста одновременно начали движение с линии старта кругового трека длиной 20 км в разные стороны со скоростями 35 км/ч и 21 км/ч.Через сколько часов они снова окажутся на линии старта одновременно?

Ответы

Автор ответа: Denik777

Т.к. их скорости относятся как 5:3, то когда первый пройдет 5 кругов, второй пройдет 3 круга. Т.к. 5 и 3 взаимно просты, то через столько кругов они первый раз окажутся снова вместе на старте. Т.е. пройдет 20*5/35=20/7 часа, причем, вне зависимости от того, в какие стороны они ехали.

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