Answer:
270 seconds
Step-by-step explanation:
Melissa's time = x seconds
Abby's time = (x + 30) seconds
Abby walks at a speed of 8 feet per second, and Melissa walks at a speed of 9 feet per seconds.
But, speed = [tex]\frac{distance}{time taken}[/tex]
For Abby,
8 = [tex]\frac{distance}{(x + 30)}[/tex]
distance = 8(x + 30) ................. 1
for Melissa,
9 = [tex]\frac{distance}{x}[/tex]
distance = 9x ............. 2
From equations 1 and 2, for the same distance;
8(x + 30) = 9x
8x + 240 = 9x
x = 240 seconds
Abby's time = (x + 30)
= (240 + 30)
= 270 seconds
So that Abby has been walking for 270 seconds when both students had walked exactly the same distance.
The time taken is 270 seconds.
Given that,
Based on the above information, the calculation is as follows:
8(x + 30) = 9x
8x + 240 = 9x
x = 240
So Abby time should be
= 240 + 30
= 270
Learn more: brainly.com/question/17429689
