A vehicle can complete a specific journey in 10 hours by moving at an average speed of 48 km/h. The vehicle's average speed needs to be ____ km/h in order to complete the same distance in 8 hours.

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A vehicle can complete a specific journey in 10 hours by moving at an average speed of 48 km/h. The vehicle's average speed needs to be 60 km/h in order to complete the same distance in 8 hours.It is given that a vehicle can complete a specific journey in 10 hours by moving at an average speed of 48 km/h.We know that two variables are said to be inversely proportional if and only if they are directly proportional to one another's reciprocal. If

x and y
  are two variables in inverse variations, then

x∝
      1
      y

⇒x=k
      1
      y

⇒x=
      k
      y
     
     ,        where k is proportianality constant

⇒xy=k                                                   ....(1)

Let the vehicle's speed in order to complete a distance in 8 hours is

x.
  From the given data, we can draw a table as,Since, on increasing the average speed, there will be a decrease in the time taken, therefore this is a case of inverse proportion. Thus,

48×10=x×8

⇒x=
        
         48×10
        8

⇒x=60

Therefore, the vehicle's speed needs to be 60 km/h in order to complete the same distance in 8 hours.

A vehicle can complete a specific journey in 10 hours by moving at an average speed of 48 km/h. The vehicle's average speed needs to be ____ km/h in order to complete the same distance in 8 hours.

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