yashvi rides a bicycle at a uniform speed if the had been 4 km/hr more,it would have taken 1 hr less to travel 48 km distance . determine her speed
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Answer:
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Given : Yashvi rides a bicycle at a uniform speed.
If the speed had been 4 km/hr more, it would have taken 1 hour less to travel 48 km distance.
To Find : Determine the speed
Solution:
Let say Speed = S km/hr
Distance = 48 km
Time = Distance / Speed
Time Taken = 48/S hr
speed had been 4 km/hr more
=> Speed = S + 4 km/r
Time taken = 48/(S + 4)
Time Taken hour less = 48/S - 1
48/(S + 4) = 48/S - 1
=> 48S = 48(S + 4) - S(S + 4)
=> 48S = 48 + 192 - S² - 4S
=> S² + 4S - 192 = 0
=> S² + 16S - 12S - 192 = 0
=> S(S + 16) - 12(S + 16) = 0
=> (S - 12)(S + 16) = 0
=>S = 12 or S = - 16 ( not possible as Speed can not be negative )
Speed = 12 km/hr
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