Question

grade 6 6.4 problem solving: word problems with linear equations miguel completes a half of a page of math problems every hour. he completes 3 pages of math problems. how many hours does it take miguel to complete the 3 pages of math problems? it takes miguel hours to complete 3 pages of math problems.

Explanation:

Step1: Define the rate and total work

Miguel's rate is $\frac{1}{2}$ page per hour, and the total work (pages) is 3. Let $t$ be the time in hours. The formula relating rate, time, and work is $\text{Work} = \text{Rate} \times \text{Time}$, so $3=\frac{1}{2} \times t$.

Step2: Solve for t

To find $t$, we can rearrange the formula: $t = \frac{3}{\frac{1}{2}}$. Dividing by a fraction is the same as multiplying by its reciprocal, so $t = 3\times2 = 6$.

Answer:

6