Question 20
The circumference of a circular lake is $30\text{ km}$. Paul and Mary cycle around the lake in opposite directions, both starting from the same point.

Paul's speed is $250\text{ m/min}$, but he rests for $5$ minutes after every $55$ minutes of cycling. Mary's speed is $200\text{ m/min}$, but she rests for $10$ minutes after every $1\text{ h}$ of cycling. Find the time taken, in hours, for them to meet for the first time.

Paul's speed is $250\text{ m/min}$, but he rests for $5$ minutes after every $55$ minutes of cycling. Mary's speed is $200\text{ m/min}$, but she rests for $10$ minutes after every $1\text{ h}$ of cycling. Find the time taken, in hours, for them to meet for the first time.