Question

Ravish covers 3x²y centimetres in one step. What is the distance moved by him in 2xy² minutes, if he takes xy steps in one minute.

Answer 1

$$\begin{gathered} \mathrm{We}\mathrm{have}, \\ \mathrm{The}\mathrm{distance}\mathrm{covered}\mathrm{in}\mathrm{one}\mathrm{step}=3x^{2}y\mathrm{cm}, \\ \mathrm{The}\mathrm{number}\mathrm{of}\mathrm{steps}\mathrm{taken}\mathrm{in}\mathrm{one}\mathrm{minute}=xy\mathrm{and} \\ \mathrm{The}\mathrm{time}=2x{y}^2\mathrm{minutes} \\ \mathrm{Now},\mathrm{the}\mathrm{number}\mathrm{of}\mathrm{steps}\mathrm{taken}\mathrm{in}2x{y}^2\mathrm{minutes}=xy\times 2x{y}^2=2x^2{y}^3 \\ \mathrm{So},\mathrm{the}\mathrm{distance}\mathrm{moved}\mathrm{in}2x{y}^2\mathrm{minutes}=2x^2{y}^3\times 3x^{2}y=6x^4{y}^4\mathrm{cm} \end{gathered}$$