Sandy can jog 3 2/5 in 5/6 hour. Find her average speed in miles per hour.
3 2/5 = 17/5
(17/5 mi)/(5/6 hr) = 102/25 mi/hr
To find Sandy's average speed in miles per hour, we need to calculate the distance she jogged in 5/6 hour.
First, let's convert the mixed fraction 3 2/5 to an improper fraction.
3 2/5 = (3 * 5 + 2)/5 = 17/5
Now, we can calculate the distance using the formula: distance = speed * time. Rearranging the formula, we get speed = distance / time.
distance = 17/5 miles (the distance Sandy jogged)
time = 5/6 hour (the time it took Sandy to jog)
Now we substitute the values into the formula:
speed = (17/5 miles) / (5/6 hour)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
speed = (17/5 miles) * (6/5 hour)
Multiplying the numerators and denominators:
speed = (17 * 6) / (5 * 5) miles/hour
= 102/25 miles/hour
Therefore, Sandy's average speed is 102/25 miles per hour, or approximately 4.08 miles per hour.