Richard hiked 7 2/5 miles in 4 hours. How many miles did he hike per hour?

Question

need help solving the following problem

Richard hiked 7 2/5 miles in 4 hours. How many miles did he hike per hour?

Answer 1

Speed = distance (miles) / time (hours)

7 2/5 miles = (7 x 5 + 2) / 5 miles = 37/5 miles

Time = 4 hours

Distance / time = 37/5 ÷ 4 = 37 / 5 x 1 / 4 = (37 x 1) / (5 x 4) = 37/20 mph

Mike

Answer 2

Convert the mixed number to an improper fraction.

7 2/5 = 37/5

Divide by 4

(37/5)/(4/1)

Divide by changing to multiplication.

(37/5) x (1/4) = 37/20 miles/hour

Covert to a mixed number - 1 17/20 miles/hour