Javier jogs 34 of a mile in 812 minutes. If he keeps the same pace, how many minutes does it take him to jog 1 mile?

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.