Question

Two people started simultaneously from points A and B towards each other. At the moment the person who started from A had covered two-thirds of the way, the other person had covered 2 km less than half the total distance. If it is known that when the person who started from B had covered $\frac{1}{4}$ of the way, the other person was 3 km short of the midpoint. Find the distance between A and B. The speeds of the two people were constant.

• A. $(15-3\sqrt{17})km$
• B. $(15+3\sqrt{17})km$
• C. $Both\left(aandb\right)$
• D. $3\sqrt{17}-5km$

Answer 1

The correct option is C $Both\left(aandb\right)$

If 2d is the distance between A and B, then
$\frac{\frac{2}{3}\times 2d}{d-2}=\frac{d-3}{2d\times \frac{1}{4}}$