Riya is going from her home to school by foot. The distance of her school from her home is 3km. As the weather is becoming bad , she started walking faster . If she increased her speed 1 km/ hr more , she would have taken 15 minutes less to cover the same distance . Find her original speed ?
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Step-by-step explanation:
let the speed be Xkm
and time be T
X=3/T
X+1=3/T-15/60
X+1=3/4T-1/4
X+1=12/4T-1
(X+1)(4T-1)=12
4XT-X+4T-1=12
12-X+4T-1=12
4T-X=1
4T-3/T=1
4T^2-T-3=0
4T^2-4T+3T-3=0
(4T+1)(T-1)=0
T=1 T= -1/4
ORIGINAL SPEED=3KM/H
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