Question

Shailendra Kumar walks 5/6 km from a point P towards the east and then from there 1 3/8 km towards the west. Where will he be now from
P.

Answer 1

Dear student
$$\begin{gathered} \mathrm{P}\mathrm{is}\mathrm{the}\mathrm{point}\mathrm{from}\mathrm{where}\mathrm{Shailendra}\mathrm{starts}. \\ \mathrm{Let}\mathrm{he}\mathrm{goes}\mathrm{to}\mathrm{point}\mathrm{E}\mathrm{in}\mathrm{the}\mathrm{east}\mathrm{from}\mathrm{point}\mathrm{P}. \\ \mathrm{Given},\mathrm{PE}=\frac{5}{6}\mathrm{km} \\ \mathrm{Let}\mathrm{then}\mathrm{he}\mathrm{goes}\mathrm{to}\mathrm{point}\mathrm{W}\mathrm{in}\mathrm{the}\mathrm{west}\mathrm{from}\mathrm{point}\mathrm{E}. \\ \mathrm{Given},\mathrm{WE}=\frac{11}{8}\mathrm{km} \\ \mathrm{So},\mathrm{PW}=\mathrm{WE}-\mathrm{PE} \\ =\frac{11}{8}-\frac{5}{6} \\ =\frac{33-20}{24} \\ =\frac{13}{24}\mathrm{km} \\ \mathrm{Thus},\mathrm{Satpal}\mathrm{is}\mathrm{at}\mathrm{a}\mathrm{distance}\mathrm{of}\frac{13}{24}\mathrm{km}\mathrm{from}\mathrm{the}\mathrm{point}\mathrm{P}. \end{gathered}$$
Regards