Предмет: Математика, автор: ermurakidima

Решите задачи.
а) Участники автопробега в первый день прошли 0,25 всего пути, во второй день 0,5 оставшегося пути, в третий день остальные 360 км. Какова дистанция автопробега?

Ответы

Автор ответа: prettypushkova

Пусть х - дистанция автопробега
0,25х - прошли в первый день
0,5 * (х - 0,25х) = 0,5х - 0,125х = 0,375х - прошли во второй день
х - (0,25х + 0,375х) = 360
х - 0,625х = 360
0,375х = 360
х = 360 : 0,375
х = 960 км - дистанция автопробега
Проверка: 0,25 * 960 = 240 км в первый день; 0,5 * (960 - 240) = 360 км во второй день; 240 + 360 + 360 = 960 км - вся дистанция.
Ответ: 960 км

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