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.

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step-by-step explanation: