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A race consists of three stretches $A, B$ and $C$ of $2$kms length each. The mode of coverage, and maximum and minimum of speeds possible in each stretch are:

Stretch Mode Minimum Speed (Km/h) Maximum Speed (Km/h)
A Car 40 60
B Motorcycle 30 50
C Bicycle 10 20

Speed in a given stretch remains constant. The previous record was ten minutes to complete the race.

Mr. Tortoise travelled in the overall race at an average speed of $20$ km/h. However, his average speed over the first two stretches combined was four times that over the last stretch. What was his speed over the last stretch?

  1. $15$ km/h
  2. $10$ km/h
  3. $20$ km/h
  4. Cannot be determined
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