SOLUTION: CAR A TRAVELING AT 35 MILES PER HOUR. CAR B IS 200 FEET BEHIND CAR A. AT WHAT SPEED MUST CAR B TRAVEL TO CATCH UP TO CAR A?
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Matrices-and-determiminant
-> SOLUTION: CAR A TRAVELING AT 35 MILES PER HOUR. CAR B IS 200 FEET BEHIND CAR A. AT WHAT SPEED MUST CAR B TRAVEL TO CATCH UP TO CAR A?
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You can put this solution on YOUR website! If car B travels at mi/hr, it will never catch up
to car A -it will always be ft behind, so any
speed greater than mi/hr will allow it to catch up
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Suppose B's speed = mi/hr
Let = distance that B travels until it catches A
Let = time in hrs for B to catch A
Convert ft to miles:
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Equation for A:
(1)
Equation for B:
(2)
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Plug (2) into (1)
(1)
(1)
(1)
(1)
(1) hrs
Convert hrs to sec
B will catch A in 13.64 sec
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Plug back into (2) to find
Hope this helps
You can put this solution on YOUR website! .
Formally, the necessary and the sufficient condition is this: "the car B must move at the speed higher than the car A".
And if the condition is in place and if the two cars move for a sufficiently long time, then the car B INEVITABLY will catch up the car A.
