Question

Um avião viaja na velocidade de 700km por hora.Quanto tempo ele levará para percorrer 5.250

Answer 1

Aplicando uma regra de três simples:

700 km - 60 minutos (1 hora)
5250 km - x

$\mathsf{x=\dfrac{5250\cdot 60}{700}}\\\\\\\mathsf{x=\dfrac{525\cdot 6}{7}}\\\\\\\mathsf{x=75\cdot 6}\\\\\\\mathsf{x=450\:minutos}$

Transformando o tempo de minutos para horas:

$\mathsf{450\:mininutos=}\\\\\\\mathsf{\dfrac{450}{60}horas=}\\\\\\\mathsf{\dfrac{45}{6}horas=}\\\\\\\mathsf{\left(\dfrac{42}{6}+\dfrac{3}{6}\right)horas=}\\\\\\\mathsf{\left(7+\dfrac{1}{2}\right)horas=}\\\\\\\mathsf{7\:horas\:e\:\cdot \left(\dfrac{1}{2}\cdot 60\right)\:minutos=}\\\\\\\boxed{\mathsf{7\:horas\:e\:30\:minutos}}\: \: \checkmark$