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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?

 May 25, 2021
 #1
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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

 May 25, 2021
edited by ElectricPavlov  May 25, 2021
 #2
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So the answer is 1300

Guest May 25, 2021

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