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A and B start moving towords each other from places X and Y, respectively, at the same time on the day. The speed of A is 20% more than of B. After meeting on the way, A and B take p hours and $$7\frac{1}{5}$$ hours, respectively. What is the value of p?
Answer & Solution
Correct Answer:
Option
B
\[\begin{array}{*{20}{c}}
{}&{\text{A}}&{}&{\text{B}} \\
{{\text{S}} \to }&6&:&5
\end{array}\]
$$\eqalign{ & \frac{{V1}}{{V2}} = \sqrt {\frac{{T2}}{{T1}}} \cr & \frac{6}{5} = \sqrt {\frac{{\frac{{36}}{5}}}{p}} \cr & \frac{{36}}{{25}} = \frac{{36}}{{5p}} \cr & p = 5 \cr} $$
$$\eqalign{ & \frac{{V1}}{{V2}} = \sqrt {\frac{{T2}}{{T1}}} \cr & \frac{6}{5} = \sqrt {\frac{{\frac{{36}}{5}}}{p}} \cr & \frac{{36}}{{25}} = \frac{{36}}{{5p}} \cr & p = 5 \cr} $$
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