MATH SOLVE

2 months ago

Q:
# i need help with this question:When Clint began his pursuit, Sue was already 60 miles ahead. If Sue travels at 40MPH and Clint travels at 60MPH, how many hours will it take Clint to catch up with Sue?β

Accepted Solution

A:

Answer:In 3 hours Clint will catch up with SueStep-by-step explanation:Letx -----> the time in hoursy ----> the distance in milesRemember thatThe speed is equal to divide the distance by the timesoThe distance is equal to multiply the speed by the timeThe linear equation in slope intercept form is equal to[tex]y=mx+b[/tex]wherem is the slope or unit rateb is the y-intercept or initial valueIn this problemClint's equationThe slope is equal to the speedso[tex]m=60\ mph[/tex] The y-intercept is equal to 0 miles (at the time x=0, the distance traveled is zero)[tex]b=0[/tex]substitute[tex]y=60x[/tex] ----> equation ASue's equationThe slope is equal to the speedso[tex]m=40\ mph[/tex]The y-intercept is equal to 60 miles (at the time x=0, the distance traveled is 60 miles)[tex]b=60\ miles[/tex]substitute[tex]y=40x+60[/tex] -----> equation BEquate equation A and equation B[tex]60x=40x+60[/tex] Solve for x[tex]60x-40x=60[/tex] [tex]20x=60[/tex] [tex]x=3\ hours[/tex]thereforeIn 3 hours Clint will catch up with Sue