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
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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) (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 = 2 or 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 = * 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
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.