If you have got some days off in summers then I would recommend learning typing in proper fashion for a few days and then practice what you have learnt subsequently. I think 15 days or so will get you started in the right direction but later on you will have to carry on with what you have learnt and will have to resist the temptation of going back to, "one finger style". The way computers are becoming part of life in learning and in any profession for that matter, this will help you a lot now and in future. This could perhaps be one of the great use of holidays.
A man starts walking from the point P (-3, 4), touches the x-axis at R, and then turns to reach at the point Q (0, 2). The man is walking at a constant speed. If the man reaches the point Q in the minimum time, then $50 [(PR)^2 + (RQ)^2 ]$ is equal to _ _ _ _ . Solution For time to be minimum at constant speed, the directions must be symmetric. In other words, the angles made by PR and RQ with the vertical must be the same just like in the law of reflection in optics. $tan \theta = \frac {MP}{MR} = \frac {NQ}{NR} $ $\Rightarrow \frac {3-r}{4} = \frac {r}{2}$ $\Rightarrow r=1 $ So, $R \equiv ( - 1,0)$ Now, $50(PR^2+RQ^2)=50[(4+16)+(1+4)]=1250$