Heather drove 864 miles in 12 hours. At the same rate, how long would it take her to drive 576 miles?

Question

Please help me!?!??! I Really need help so please help me! thanks you if you help me

Answer 1

12/864 = x/576

1/72 = x/576

72x = 576

x = 576/72 = 8

in 8 hours she can drive 576 miles in the same time she drives 864 in 12 hours

8/12 = 2/3 = 576/864 = 2/3

8/12 = 4(2)/4(3) = 576/864 = 288(2)/288(3) = 2/3

8 hours is 2/3 the time of 12 hours

so she drives 2/3 as far. 2/3 times 864 = 576 miles