To see how fast the moss was growing students recorded how long it took the moss to cover a rule. After one hour, the moss had covered 1 1/8 inches of the ruler. After two hours, it had covered another 1 1/3 inches of the ruler. How much of the ruler did the moss cover altogether after two hours?

Respuesta :

Answer:

The moss will cover [tex]2\frac{11}{24}[/tex] inches of the ruler after 2 days.

Step-by-step explanation:

After one hour, the moss had covered [tex]1\frac{1}{8}[/tex] inches of the ruler.

Again, after two hours, it had covered another [tex]1\frac{1}{3}[/tex] inches of the ruler.

Therefore, after two hours the moss covers altogether ([tex]1\frac{1}{8} + 1\frac{1}{3}[/tex]) inches of the ruler.

Now, ([tex]1\frac{1}{8} + 1\frac{1}{3}[/tex])

= [tex]\frac{9}{8} + \frac{4}{3}[/tex]

= [tex]\frac{9\times 3 + 4 \times 8}{24}[/tex]

= [tex]\frac{59}{24}[/tex]

= [tex]2\frac{11}{24}[/tex] inches

Therefore, the moss will cover [tex]2\frac{11}{24}[/tex] inches of the ruler after 2 days. (Answer)