A horse traveled at a constant speed of ^@30 \space km/h ^@ for the initial ^@2^@ hours and then at a constant speed of ^@20 \space km/h^@ for ^@3^@ hours. What was its average speed?


Answer:

^@24 \space km/h^@

Step by Step Explanation:
  1. Given, speed for the initial ^@2^@ hours ^@= 30 \space km/h ^@
    Speed for the remaining ^@3^@ hours ^@ = 20 \space km/h^@
    So, the total time of the journey ^@ = 2 + 3 = 5^@ hours
    Average speed can be found by using the formula below:
    Average speed ^@ = ^@ Total distance ^@\div^@ Total time
  2. Distance covered in the initial ^@ 2 ^@ hours ^@ = 2 \times 30 ^@
    ^@ = 60 \space km. ^@
    Distance covered in the remaining ^@ 3 ^@ hours ^@ = 3 \times 20 ^@
    ^@ = 60 \space km. \space\space\space\space ^@
    Total distance covered ^@ = 60 + 60 ^@
    ^@ = 120 \space km. ^@
  3. Average speed ^@ = 120 \div 5 ^@
    ^@ = 24 \space km/h. ^@
  4. Hence, the average speed of the horse was ^@24 \space km/h^@.

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