3/4th of a mile jogs in 8 1/2 minutes.
Let us convert 8 1/2 into improper fraction first,
8 1/2 = (8*2+1)/2 = 17/2 minutes.
In order to find the number of minutes required to to cover 1 mile of distance, we need to divide given number of minutes by given number of miles.
Therefore, number of minutes does it take him to jog 1 mile= 17/2 ÷3/4
Let us convert division sign into multiplication. The second fraction will get flip, we get
17/2 × 4/3 = 17 × 2/3 = 34/3
Converting 34/3 into mixed fractions, we get quotient =11 and remainder =1.
Therefore, 34/3 = 11 1/3.
Therefore, 11 1/3 minutes does it take him to jog 1 mile.
