Question

Two cities A and B are at a distance of 60 km from each other. Two persons P and Q start from the first city at a speed of 10 km/hr and 5km/hr respectively. P reached the second city B and returns to meet Q at Y. Find the distance between A and Y.

• A. 30 km
• B. 40 km
• C. 50 km
• D. 55 km
• E. 53 km

Answer 1

The correct option is B 40 km

Time taken by P to reach city B is 6hr. In 6 hr, distance covered by Q is 30 km.
Now at some x distance they will meet. So
$\frac{x}{5}=\frac{30-x}{10}\Rightarrow x=10$
So distance between A and Y is 30+10 = 40km