Question

Matthew can jog 3 and ⅖ miles in ⅞ of an hour. Find his average speed in miles per hour.

Answer 1

Answer:

3 $\frac{31}{35}$ mph ≈ 3.8857 mph

Step-by-step explanation:

Speed = distance/time

1) Plug the numbers in.

Speed = 3 ⅖ / ⅞

2) Convert the numbers to decimals.

Speed = 3.4 / 0.875

3) Solve.

Speed ≈ 3.8857 mph = $\frac{136}{35}$ mph = 3 $\frac{31}{35}$ mph

ANOTHER WAY TO SOLVE

Speed = distance/time

1) Plug the numbers in.

Speed = 3 ⅖ / ⅞

2) Convert into improper fractions

Speed = $\frac{17}{5}$ / $\frac{7}{8}$

3) Multiply by the reciprocal

Speed =  $\frac{17}{5}$ × $\frac{8}{7}$ = $\frac{136}{35}$ mph = 3 $\frac{31}{35}$ mph