SOLUTION: If the average speed of a car is increased from 50 kph to 60 kph.The time needed to cover a certain distance is reduced by 30 min. What is the distance involved?

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Question 1127914: If the average speed of a car is increased from 50 kph to 60 kph.The time needed to cover a certain distance is reduced by 30 min. What is the distance involved?
Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.
Let D be the distance under the question, in kilometers.


Then your "time" equation is


D%2F50 - D%2F60 = 0.5    of an hour.


To solve the equation, multiply both sides by 300:


6D - 5D = 300*8.5


D = 150.


Answer.  The distance under the question is  150 kilometers.


Check.   The time to cover 150 km at 50 km/h  is   150%2F50 = 3 hours.

          The time to cover 150 km at 60 km/h  is   150%2F60 = 2.5 hours.

          The difference of times is  3 - 2.5 = 0.5  hours.   ! Correct !

Solved.