Math, asked by msenti2013, 9 months ago

Question 7
A traffic school class has three parts. In the first part, a film is shown that takes one fifth of the class
time. In the second part, the instructor lectures for 70 minutes. In the final part, a test is given that
takes one third of the class time.
The duration of the traffic school class is
[1] 150 minutes.
[2] 131 minutes.
[3] 107 minutes.
[4] 280 minutes

Answers

Answered by mysticd
2

 Let \:the\: duration\:of  \: traffic \:school

 class = x \: minutes

 Duration\:of \: showing \: film = \frac{x}{5}\:mi

 Duration \:of \:instructor \: lecture = 70\:mi

 Duration \:of \: conducting \:test = \frac{x}{3}\:mi

 \therefore  x = \frac{x}{5} + 70 + \frac{x}{3}

 \implies x - \frac{x}{5} - \frac{x}{3} = 70

 \implies \frac{15x - 3x - 5x }{15} = 70

 \implies \frac{15x - 8x }{15} = 70

 \implies \frac{7x }{15} = 70

 \implies x = 70 \times \frac{15}{7}

 \implies x = 150 \: minutes

Therefore.,

 Option \: \green { ( 1 ) } \: is \: correct .

•••♪

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