Pergunta
Two planes travel toward each other from cities that are about 450 km apart at rates of 240km/r and 210km/re They started at the same time. In how many hours will they meet? The two planes will meet after square hours. (Simplify your answer.)
Solução
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Ana ClaraProfissional · Tutor por 6 anos
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To find out when the will meet, we need to calculate the time it takes for them to cover the total distance between the cities.<br /><br />Let's denote the time it takes for the two planes to meet as $t$ hours.<br /><br />The distance covered by the first plane in $t$ hours is $240km/h \times t$.<br /><br />The distance covered by the second plane in $t$ hours is $210km/h \times t$.<br /><br />Since the two planes are traveling towards each other, the sum of the distances they cover will be equal to the total distance between the cities.<br /><br />So, we can set up the equation:<br /><br />$240km/h \times t + 210km/h \times t = 450km$<br /><br />Simplifying the equation:<br /><br />$450km/h \times t = 450km$<br /><br />Dividing both sides of the equation by $450km/h$:<br /><br />$t = 1$<br /><br />Therefore, the two planes will meet after 1 hour.
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