A car covers a distance of 200 km in the first 3 hours, then takes a break of 30 mins and then covers a distance of 50 km in the next 30 mins. Find the average speed of the car in the whole journey?
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Speed of the car =x km /hr
Time taken =t hrs
xt=200
∴t=
x
200
Now, (x+5)(t−2)=200
(x+5)(
x
200
−2)=200
(x+5)(200−2x)=200x
200x−2x
2
+1000−10x=200x
x
2
+5x−500=0
x
2
+25x−20x−500=0
(x+25)(x−20)=0
x=−25,x=20
Speed cannot be negative value, hence, x=20 km/hr
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