Brian covers a certain distance in a certain time. If  
4
5
  of the distance is covered in  
1
5
  of the time with speed V1 and the rest of the  
1
5
  distance in  
4
5
  of the time with speed V2, then find the ratio V1:V2.


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Answer:

16:1

Step by Step Explanation:
  1. Let's assume Brian had covered distance x in time t. We know that the speed is equal to  
    distance
    time
     . Therefore according to the given question, the speed V1 will be:
     
     
    4x
    5
     
     
    t
    5
     
     , or  
    4x
    t
     .
  2. The speed V2 will be equal to:
     
     
    x
    5
     
     
    4t
    5
     
     , or  
    x
    4t
     .
  3. The ratio V1 : V2 will be:
     
     
    4x
    t
     
     
    x
    4t
     
     , or 16:1.

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