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A bus starts at $9 \: \mathrm{am}$ and follows a fixed route every day. One day, it traveled at a constant speed of $60 \: \mathrm{km}$ per hour and reached its destination $3.5$ hours later than its scheduled arrival time. Next day, it traveled two-thirds of its route in one-third of its total scheduled travel time, and the remaining part of the route at $40\:  \mathrm{km}$ per hour to reach just on time. The scheduled arrival time of the bus is

  1. $7: 00 \:  \mathrm{pm}$
  2. $9: 00 \: \mathrm{pm}$
  3. $10: 30 \: \mathrm{pm}$
  4. $7: 30 \: \mathrm{pm}$

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