Sue heads due west from Dry Gulch on U.S. 6.5 at a steady speed of 55 mph (miles per hour) while Don heads due east from Wet Hollow (which is 830 miles west of Dry Gulch) on the same hiway at 65 mph but he starts 2 hours after Sue did. How many miles did Sue travel before they met?
2006-09-01 10:09:07 · 11 answers · asked by Olivia 4 in Science & Mathematics ➔ Mathematics
I got 440
is this correct?
2006-09-01 10:13:43 · update #1
when both are driving it is after 6 hours that the rendez- vous takes place.because after 2 hours driving there are still 720 miles to go, don starts driving then end the two are approaching each other with 65 + 55 = 120 miles / hour ( neglkecting relativistic effects )
In six hours Sue drives 330 miles in total she thus drives 440 because Don starts 2hours later.
Capito ?
2006-09-01 10:16:33 · answer #1 · answered by gjmb1960 7 · 0⤊ 0⤋
Don and Sue start off 830 miles apart.
Sue starts first.
She drives two hours at 55 mph before Don starts.
So 2 hours later, she has gone 2 x 55 = 110 miles.
They are now 830 - 110 = 720 miles apart.
Don starts driving.
The two approach each other at a combined speed of 55 + 65 = 120 mph.
They meet in 720 / 120 = 6 hours.
During those 6 hours, Sue travels 6 x 55 = 330 miles.
But since she already drove 110 miles during the first two hours,
Sue travels a total of 110 + 330 = 440 miles.
440 miles is the answer.
But just to double check that things add up,
Don traveled 6 x 65 = 390 miles.
440 + 390 = 830 total miles. So yes, it adds up.
2006-09-01 17:17:55 · answer #2 · answered by Kevin E 2 · 0⤊ 0⤋
here is how you figure it out
Take the toal mileage: 830 subtract the distance traved (2 * 55= 110) subtract from 830 = 720. This is the distance they are apart when Don starts.
Now take the 720 divide by the combined speed (55 +65 = 120 mph). 720 /120 = 6.0 hrs travel time. Add back her original 2 hour head start = 8 hr travel time. 8* 55 = 440 miles. Sue traveled.
2006-09-01 17:21:26 · answer #3 · answered by NW_iq_140 2 · 0⤊ 0⤋
Sue already traveled 110 miles before Don started, so when he started out, they were only 720 miles apart. They are traveling at a combined speed of 120 miles per hour. At that rate, they will cover the 720 miles in 6 hours. She is travelling at 55 miles per hour, so 55 x 6 is 330. Add the 110 miles she already traveled and you will get 440 miles. So the correct answer is 440 miles.
2006-09-01 18:22:32 · answer #4 · answered by sane_nut 3 · 0⤊ 0⤋
Yes. The equations to solve are:
X1: Total distance travelled by Sue to meeting
X2: Total distance travelled by Don to meeting
X1+X2 = 830
X1/55 = X2/65 +2 = Total travel time for Sue
The equations indicate:
X1 = 440 miles
X2 = 390 miles
2006-09-01 17:31:01 · answer #5 · answered by Shivers 2 · 0⤊ 0⤋
Yes
2006-09-01 17:20:51 · answer #6 · answered by Anonymous · 0⤊ 0⤋
Sue was driving too slow and got rear ended by a tractor trailer.
2006-09-01 18:44:14 · answer #7 · answered by Roy G. Biv 3 · 0⤊ 0⤋
Depends on how long Sue was lost.
2006-09-01 19:21:53 · answer #8 · answered by Brin 2 · 0⤊ 0⤋
You forgot the second part of the question......... Does anybody really give a rats a**e
2006-09-01 17:18:14 · answer #9 · answered by Ted 3 · 0⤊ 0⤋
Figure it out yourself
2006-09-01 17:11:04 · answer #10 · answered by Anonymous · 0⤊ 0⤋