SOLUTION: you leave the house traveling 60mph. after you have driven 25 miles, your mother leaves the house traveling in the same direction. what speed must your mother travel to catch up t

Question 278871: you leave the house traveling 60mph. after you have driven 25 miles, your mother leaves the house traveling in the same direction. what speed must your mother travel to catch up to you 5 hours after she leaves?
Found 2 solutions by richwmiller, Grinnell:
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
60x=25
x=25/60
x=5/12
60*(5+5/12)=5*y
y=65 mph
or
rt=d
60*5+25=5y
r*t+d=r*t
divide by 5
60+5=y
65=y
5*65=3325
60*5+25=325
after travelling 325 miles they meet

Answer by Grinnell(63) (Show Source): You can put this solution on YOUR website!
You got any popcorn? May take a while.
First, how much time elapsed in order for me to go 25 miles at a rate of 60mph?
This is 25 minutes!
Rate TIMES Time = Distance,
NOW, Five hours after mother has caught up to me, I have traveled 5 hours and 25 minutes, or for the sake of computation, I have travelled 60/12+5/12 hours or 65/12 hours.
Now 60 mph TIMES 65/12hours=325 miles!!!!

But, we want to know what speed mother travelled to go 325 miles in five hours,
Rate TIMES Time = Distance
? (5)=325 miles
?=mother's speed=65 MPH!! Don't hog the popcorn!! LOL Have a great day!!!
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