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?
1 answer:
Answer:
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
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