Maths-
General
Easy

Question

If a man walks 16 km in 5 hours, how long would he take to walk 11.2 km?

  1. 3.5 hours    
  2. 4.5 hours    
  3. 2.5 hours    
  4. 4.2 hours    

hintHint:

We are given the distance travelled by a man in 5 hours. It is 16 km. We have to time taken in 11.2 km. We will find the speed of walking first. Using this information, we will find the required value.

The correct answer is: 3.5 hours


    Distance travelled in 5 hours is 16 km.
    We will find speed of the walking. Using that information, we can find the time required to travel 11.2 km.
    S p e e d space equals fraction numerator D i s tan c e over denominator T i m e end fraction
space space space space space space space space space space space space space equals fraction numerator 16 space k m over denominator 5 space h o u r s end fraction
space space space space space space space space space space space space space equals space 3.2 space k m divided by h o u r
    Now, we will use this value to find the required distance
    S p e e d space equals fraction numerator D i s tan c e over denominator T i m e end fraction
    We will multiply both sides by Time and divide by Speed. And, we will rearrange the expression.
    T i m e space equals fraction numerator D i s tan c e over denominator S p e e d end fraction
space space space space space space space space space equals fraction numerator 11.2 space k m over denominator 3.2 space begin display style bevelled fraction numerator k m over denominator h r end fraction end style end fraction
space space space space space space space space space space equals space 3.5 space h r
    So, the time required to travel 11.2 km is 3.5 hours.

    For such questions, we should know find the speed. We should be careful about the units.

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