• question_answer A boy goes to school with the speed of 3 km/h and returns with a speed of 2 km/h. If he takes 5 h in all the distance between the village and the school is A)  6 km   B)  7 km  C)  8 km    D)  9 km

Let distance between home and school = y km Time taken from home to school = x h Time taken from school to home $=(5-x)\,\text{h}$ For journey from home $\to$ School $y=3(x)$ $y=3x$ ?(i) For journey from school $\to$ Homes $y=2\,(5-x)\,km$ $y=10-2x$ ?(ii) From Eqs. (i) and (ii), we get $x=2h$ Distance between home $\to$ School $\Rightarrow$ $y=3(2)\,km$ $\Rightarrow$ $y=6\,km$