Question 24
The diagram below shows three toy cars moving in a rectangular circuit $ABCD$ where $AB=10$ m and $BC=20$ m. Toy cars $M,N$ start from the vertices $A,C$ respectively and move in an anti-clockwise direction with constant speeds $10$ m/min and $4$ m/min respectively. Toy car $P$ starts from $C$ and moves in a clockwise direction with a constant speed of $8$ m/min.
The three toy cars start their motion at the same time. Assume that when any two toy cars meet, there is no collision and the cars will continue with their motion. Find the total time elapsed in minutes when all the three toy cars meet simultaneously for the fifth time.
The three toy cars start their motion at the same time. Assume that when any two toy cars meet, there is no collision and the cars will continue with their motion. Find the total time elapsed in minutes when all the three toy cars meet simultaneously for the fifth time.