
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Three students  $A, B$  and  $C$  are traveling from a location on the National Highway No. $5$  on direction to Hanoi for participating the HOMC  $2018$ . At beginning,  $A$  takes  $B$  on the motocycle, and at the same time  $C$  rides the bicycle. After one hour and a half,  $B$  switches to a bicycle and immediately continues the trip to Hanoi, while  $A$  returns to pick up  $C$ . Upon meeting,  $C$  continues the travel on the motocycle to Hanoi with  $A$ . Finally, all three students arrive in Hanoi at the same time. Suppose that the average speed of the motocycle is  $50$  km per hour and of the both bicycles are  $10$  km per hour. Find the distance from the starting point to Hanoi.

Present the answer in LaTex format: \boxed{Your answer}
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