Jodi walks to school every morning. If she walks at a speed of 50 meters per minute, she will be 4 minutes late for school. If she walks at a speed of 65 meters per minute, she will reach her school 2 minutes before the assembly bell rings. How long does Jodi take to walk to school in order to be on time? How far is the school from her house?
Given d/50 = x+4 and d/65 = x-2 re-arrange
d/50 - 4 = x d/65+2 = x now equate the two of them ...since theyare both = x
d/50 -4 = d/65+2
d/65 - d/50 = - 6
d = 1300 m
find 'x' d/65 = x-2
1300/65 = x-2
x = 22 seconds
Find exact rate that gets her there at 'x'
1300/ r = 22 r = 59.09 m/s