# 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?

Mar 10, 2018

#### Answer:

$105$ 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

$\frac{3 \setminus \text{problems")/(7 \ "minutes")=(45 \ "problems}}{x}$

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

$= 15 \cdot 7 \setminus \text{minutes}$

$= 105 \setminus \text{minutes}$