Q. 12 Yashvi rides a bicycle at a uniform speed. If the speed had been 4 km/hr more,
it would
have taken 1 hourless to travel 48 km distance. Determine her speed.
Answers
Answer:
D= 48
let speed be X
then
T= 48/X
new speed= X+4
T= 48/X+4
According to the question
48/X+4 = 48/X - 1
solve by yourself now
Answer:
speed= 12 km/hr
Step-by-step explanation:
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 - S -4S
=>S +4S - 192 0
=> S+16S 12S-192 0
=> S(S +16) 12(S+16) = O
=> (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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