Ameena walks 1 kilometre per hour faster than Alka. both walked from their village to the nearest library, a distance of 24 kilometre. Alka took 2 hours more than Ameena. what was Alka's average speed?
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let Alka's speed=x km/h
Ameena's speed=(x+1) km/h
time =distance/speed
use this ,
24/x -24/(x+1)=2
24{x+1-x}/(x^2+x)=2
12=x^2+x
x^2+x-12=0
x^2+4x-3x-12=0
x=-4 and 3
but speed isn't negative
so,
x=3 km/h
hence, Alka's speed=3 km/h
Ameena's speed=(x+1) km/h
time =distance/speed
use this ,
24/x -24/(x+1)=2
24{x+1-x}/(x^2+x)=2
12=x^2+x
x^2+x-12=0
x^2+4x-3x-12=0
x=-4 and 3
but speed isn't negative
so,
x=3 km/h
hence, Alka's speed=3 km/h
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