Joey solves math problems at a rate of 3 problems every 7 minutes. If he continues work at the same rate, how long will it take Joey to solve 45 problems?

1 Answer
Mar 10, 2018

105 minutes

Explanation:

Well, he can solve 3 problems in 7 minutes. Let x be the time he has to solve 45 problems. Then, we got

(3 \ "problems")/(7 \ "minutes")=(45 \ "problems")/x

:.x=(45color(red)cancelcolor(black)"problems")/(3color(red)cancelcolor(black)"problems")*7 \ "minutes"

=15*7 \ "minutes"

=105 \ "minutes"