Skip to content / Đến nội dung
ThichHocToan.com

SEAMO 2016 — Upper Secondary — Paper E Question 20

SEAMO · SEAMO 2016 — Upper Secondary — Paper E

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.

Question illustration

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.
  1. $1\dfrac7{12}$
  2. $1\dfrac1{28}$
  3. $1\dfrac5{27}$
  4. $2\dfrac1{14}$
  5. $2\dfrac3{28}$