SOLUTION: A bus leaves Anika's house at 60km per hour. Two hours later, a taxi leaves the same place at 80km per hour. How long will it take the taxi to overtake the bus?
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Question 1067596: A bus leaves Anika's house at 60km per hour. Two hours later, a taxi leaves the same place at 80km per hour. How long will it take the taxi to overtake the bus? Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! What is the head start in km for the bus? km
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Let = time in hrs for the taxi to overtake bus
Let = distance in km the taxi travel
until it overtakes the bus
Start a stopwatch when the taxi leaves
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Equation for bus:
(1)
Equation for taxi:
(2)
----------------------
(1)
Substitute (2) into (1)
(1)
(1)
(1)
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The taxi overtakes the bus in 6 hrs
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check:
(2)
(2)
(2) km
and
(1)
(1)
(1)
(1) km
OK
