Ariana took 2 hours longer to drive 360 miles on the first day of the trip than she took to drive 270 miles on the second day. If her speed was the same on both days, what was her driving time each day?
2006-09-12 02:53:37 · 5 answers · asked by Michele P 1 in Science & Mathematics ➔ Mathematics
If it takes 2 hours longer to drive 360 miles than 270 miles
Then it takes 2 hours to drive 90 miles.
That means she's driving 45 miles per hour.
On the first day, she drives 360 miles. 360/45 = 8 hours
On the second day, she drives 270 miles. 270/45 = 6 hours.
2006-09-12 03:01:45 · answer #1 · answered by Bramblyspam 7 · 0⤊ 0⤋
let her speed be x miles per hour
according to question time for 270 miles dist. = 270/x
hence 270/x+2=360/x
==>2x=90
==>x=45miles per hour
hence for first day she drove 8 hours
and second day she drove 6 hours
2006-09-12 10:02:56 · answer #2 · answered by pragyp 2 · 0⤊ 0⤋
distance = rate*time
360 = r (t+2)
270 = rt
r = 270/t
360 = 270/t (t + 2)
360 = 270 + 540/t
90 = 540/t
t = 540/90
t = 6 hours on the second day
t + 2 = 8 hours on the first day
2006-09-12 10:01:01 · answer #3 · answered by jimvalentinojr 6 · 0⤊ 0⤋
360-270=70/2hrs=35 mph
35 mph x 360 = driving time day 1
35 mph x 270 = driving time day 2
2006-09-12 10:00:02 · answer #4 · answered by Anonymous · 0⤊ 1⤋
8 hours the first day, 6 hours the second.
2006-09-12 10:03:37 · answer #5 · answered by roobs 2 · 0⤊ 0⤋