Question

Victoria and Margaret are 625 miles apart and traveling straight towards each other. If Victoria's speed is 55 mph and Margaret's speed is 70 mph, how many hours will it be before the two meet?

Answer 1

Answer :
           Since Victoria and Margaret are moving in opposite directions therefore their velocities add up , hence relative velocity of approach = 55+70 = 125 mph
         Distance = 625 miles
  Hence velocity = distance / time
 or time = distance / velocity
 or time = 625 miles / 125 miles per hour  = 5 hours

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Answer 2

Let Vitoria and Margaret met after x hrs.
Then,
Time taken by both = x hr.
Speed of Vitoria = 55 mph.
Speed of Margaret = 70 mph.
Now,
Distance = Speed * Time
Distance covered by Victoria in x hrs = 55x miles
Distance covered by Margaret in x hrs = 70x miles.
Total Distance = 70x + 55x
There fore,
625 = 70x+55x                              [Since, Distance between Victoria and Margaret is 625 miles]
625 = 125x
x=625/125
x=5
Therefore,
Victoria and Margaret met after 5 hrs.    Ans.



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