if a formula one racer goes at his normal speed he gets 10mins late to reach his destination.if he goes 20km/h faster than normal speed he reaches on time.If his destination is 480km away from him,find his normal speed
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Answer:
230.2 km/hr
Step-by-step explanation:
if a formula one racer goes at his normal speed he gets 10mins late to reach his destination.if he goes 20km/h faster than normal speed he reaches on time.If his destination is 480km away from him,find his normal speed
Let say Normal Speed = X km/Hr
Distance = 480 km
Time taken for 480 km = 480/X hr
increased speed = X + 20 km/Hr
Time taken = 480/(X + 20) hr
Time saved = 10 min = 1/6 hr
480/X - 480/(X + 20) = 1/6
=> 2880/X - 2880/(X + 20) = 1
=> 2880(X + 20 - X) = X(X + 20)
=> 57600 = X² + 20X
=> X² + 20X - 57600 = 0
=> X = 230.2 km/hr
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