Question

Two persons A and B are $350$ m apart. If A can run at the speed of $7$ m/sec and B can run at the speed of $3$ m/sec; Find in how much time will they meet each other , if they run in the same direction ?

• A. $87.5$ sec
• B. $60$ sec
• C. $55$ sec
• D. $92$ sec

Answer 1

The correct option is A $87.5$ sec

Suppose A is point origin, then B will be at $350m$
Suppose they meet when B travels for $x$ m, then A will have travelled $350+x$ m in the same time
Since, Time $=\frac{Distance}{Speed}$
Time taken by A $=$ Time taken by B
$⟹\frac{350+x}{7}=\frac{x}{3}$
$⟹1050+3x=7x$
$⟹4x=1050$
$x=262.5$

So, time $=\frac{262.5}{3}=87.5$ seconds