Explanation for Question 34 From the Math (Calc) Section on the Official Sat Practice Test 8
So question 34 is telling us about Paul Revere. 2 And we're told that if he had ran straight to Lexington without stopping, 3 he would have traveled for 11 miles in 26 minutes. 4 So he would have gone 11 miles in the span of 26 5 minutes. Now in such a ride, 6 what would the average speed have been to the nearest 10th? 7 So we're going to do some rounding and miles per hour, 8 right? So this question is really a question of unit analysis. 9 We're given our units in minutes and we're asked to convert those minutes 10 to hours. So we can ask ourselves how many minutes are in an hour. 11 We know that there are 60 right, 60 minutes for one hour. 12 So I'm going to multiply my starting fraction by second fraction, 13 where my minutes are in the numerator, because now when I multiply my minutes, 14 cancel each other out and I'll be left with new units of miles per 15 hour. And when I multiply these across, 16 if I do 60 times 11, 17 I get 660 and that's going to be miles. 18 Cause those are my only units that are left. If I do 26 times 19 one that gives me 26 hours. 20 Right? Cause my minutes cancel it. My hours are all this left and they 21 want me to round to the nearest 10th. So we can plug that in 22 our calculator and we will get 25.38. 23 So that rounds up to 25.4. 24 And that will be our answer. 25.4.