21- You swam at a rate of 3/8 mile per hour in March. You swam at a rate of 3/7 mile per hour in April. How much faster did you swim in April?

Respuesta :

Answer:

[tex]\dfrac{3}{56}[/tex] mile.

Step-by-step explanation:

From the given information we get

Swam rate in March = [tex]\dfrac{3}{8}[/tex] mile per hour.

Swam rate in April = [tex]\dfrac{3}{7}[/tex] mile per hour.

We need to find how much faster did we swim in April.

It means we need to find the difference of swam rate in April and swam rate in March.

[tex]\dfrac{3}{7}-\dfrac{3}{8}=\dfrac{3(8)-3(7)}{7\times 8}[/tex]

[tex]\dfrac{3}{7}-\dfrac{3}{8}=\dfrac{24-21}{56}[/tex]

[tex]\dfrac{3}{7}-\dfrac{3}{8}=\dfrac{3}{56}[/tex]

Therefore, we swan [tex]\dfrac{3}{56}[/tex] mile faster in April than March.