Jack and Jim went biking. Jack biked for 5 1/3 hours with average speed 12 1/2 miles per hour. Jim traveled exactly 1 1/5 as far as Jack did. How long was Jim's trip?

jim traveled 80 miles

Step-by-step explanation:

how far did jack travel

d = rt

d = 12 1/2 miles per hour * 5 1/3 hours

change to improper fractions

12 1/2 = (2*12 + 1 / ) 2 = 25/2

5 1/3 = (3*5+1) / 3 = 16/3

d = 25/2 * 16/3 = 25/3 * 16/2 = 25/3 * 8 = 200/3 miles

jim traveled 1 1/5 times as far

change this to an improper fraction

1 1/5 = (5*1+1) / 5 = 6/5

jim = jack * 6/5

jim = 200/3 * 6/5

200/5 * 6/3

40 * 2

80

jim traveled 80 miles