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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Question 1077070: 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?
Found 2 solutions by josmiceli, ikleyn:
Answer by josmiceli(19441) (Show Source): 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
----------------------
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:
---------------------------------------
Equation for A:
(1)
Equation for B:
(2)
-------------------------
Plug (2) into (1)
(1)
(1)
(1)
(1)
(1) hrs
Convert hrs to sec
B will catch A in 13.64 sec
--------------------------
Plug back into (2) to find
Hope this helps
Answer by ikleyn(52803) (Show Source): 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.
If you want to learn MORE about solving "catching-up" problems, read the lesson
- Travel and Distance problems for two bodies moving in the same direction (catching up)
in this site.
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