SOLUTION: Doctor White leaves home to drive to a convention. She is traveling at 55miles/hour. She is 10 miles from home when her husband realizes that she has forgotten her briefcase. How f

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Doctor White leaves home to drive to a convention. She is traveling at 55miles/hour. She is 10 miles from home when her husband realizes that she has forgotten her briefcase. How f      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 174073: Doctor White leaves home to drive to a convention. She is traveling at 55miles/hour. She is 10 miles from home when her husband realizes that she has forgotten her briefcase. How fast will he have to drive to catch her in two hours?
Found 3 solutions by ankor@dixie-net.com, Razzak Ahmed, Alan3354:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
traveling at 55miles/hour. She is 10 miles from home when her husband realizes
that she has forgotten her briefcase. How fast will he have to drive to catch her in two hours?
:
Find how far ahead White is at the start in terms of time (hrs):
time = 10/55
time = 5/11 hrs
:
White travel time = 25%2F11 or 27%2F11 hrs
Husband's travel time = 2 hrs
:
Let s = speed required for him to catch up in two hrs
;
When he catches up, they will have traveled the same distance
Write a dist equation from this fact: (Dist = time * speed)
:
2s = 27%2F11 * 55
2s = 27(5)
2s = 135
s = 67.5 mph to catch W in 2 hrs
;
:
Check solution by find the distances:
White's dist: 135 mi
Husband's dist: 2*67.5 = 135 mi also

Answer by Razzak Ahmed(10) About Me  (Show Source):
You can put this solution on YOUR website!
If you add 10 with 55 and add 55 again because that would be how far she will be after 2 hours. Which is 120 miles then divide that by 2 and you will know how fast he has to go to catch up to her. Which is 60 mph.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
She's 10 miles away.
He wants to travel 10 miles in 2 hour = 5 mph relative to his wife
55 + 5 = 60 mph