A student goes to school with a uniform speed of ` 3 km h^(-1)` and returns to his home with a speed of ` 2km h^(-1)` , if the student taken 1 hour in all, then find out find distance between the school and the house.

Explanation

Speed = `("distance")/("time")`
Let the distance be x, `("distance")/("speed")` = time
`t_(1)+t_(2)=x/3+x/2=1,rArr(2x+3x)/6=1`
`rArr5x=6,x=6/5=1.2km`