Question

Grace ran 2 5/8 miles in 1/3 of an hour. Her afternoon run took only Her afternoon run took only 1/6 of an hour, but it was 1 1/4 miles shorter than her morning run, but it was 1 1/4 miles shorter than her morning run. What was camaya's average speed for the day

Answer 1

Speed of Grace in morning :

$v_m = \dfrac{2\dfrac{5}{8}}{\dfrac{1}{3}}\\\\\\v_m = \dfrac{\dfrac{21}{8}}{\dfrac{1}{3}}\\\\v_m = 7.875\ mph$

Speed in evening :

$v_e = \dfrac{\dfrac{21}{8}-\dfrac{5}{4}}{\dfrac{1}{6}}\\\\v_e = 8.25\ mph$

Average speed :

$v = \dfrac{v_m + v_e}{2}\\\\v = \dfrac{7.875+8.25}{2}\\\\v = 8.0625\ mph$

Hence, this is the required solution.