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

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Question 252985: If the average speed of a car is increased from 50 to 60 kph, the time needed to cover a certain distance is reduced by 30 mins. What is the distance involved?
Found 2 solutions by Greenfinch, richwmiller:
Answer by Greenfinch(383) About Me  (Show Source):
You can put this solution on YOUR website!
At 50 kph, D/50 = T
at 60 kph, D/60 = T - 1/2
For the same distance
D = 50T = 60 ( T - 1/2)
50 T = 60 T - 30
-10T = -30
T = 3
Thus distance is 50 x 3 or 150 km
Check at 50 kph time is 3 hours
at 60 time is 2 1/2 hours

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
rt=d
50x=60*(x-1/2)
50x=60x-30
30=10x
3=x=3 hours
50*3=150 km
60*2.5=150 km
150 km distance