Question

daphne has 3 days to drive 932.4 miles . she wants to have completed about 75% of the drive by the start of day three.which of the following is closest to the distance she should drive on each of the first two days

Answer 1

For this case we can make the following rule of three:
 932.4 miles -----------> 100%
 x -------------------------> 75%
 From here, we clear the value of x.
 We have then:
 $x = \frac{75}{100} * (932.4)$
 $x = 699.3 miles$
 We now divide the result between two to find the distance traveled for each day
 We have then:
 $r = \frac{699.3}{2}$
 $r = 349.65 \frac{miles}{day}$
 Answer:
 the distance she should drive on each of the first two days is:
 $r = 349.65 \frac{miles}{day}$

Answer 2

75 % of the drive is 0.75 x 932.4 miles which is 699.3 miles which if divided by two equals about 350 miles per day will allow her to reach her objective so the result is obtained by just doing simple math according to the total distance and the 75% and dividing the result by 2 days.