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 Rightarrow (2x+3x)/6=1`
` Rightarrow 5x = 6, x= 6/5 = 1/2` km