MathematicsA takes 2 hours more than B to walk d km. If A doubles his speed, then he can make it in 1 hour less than B. How much time does B require for walking d km.? 



A takes 2 hours more than B to walk d km. If A doubles his speed, then he can make it in 1 hour less than B. How much time does B require for walking d km.?
 


  1. A
    4
  2. B
    6
  3. C
    5
  4. D
    3
     

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    Solution:

    Let us assume that the time taken by B to walk d km be x.
    Distance to be travelled 
    Time taken by B to walk d km 
    Time taken by A to walk d km
    Speed of A  …………………………..(i)
    Distance to be travelled 
    Time taken by B to walk d km 
    Time taken by A to walk d km
    Speed of A .............................(ii)
    So, comparing equation (i) and equation (ii), we get


    Now, after cross-multiplying, we get

    Hence, the time taken by B to walk d km is 4 hours.
    So, option 1 is correct.
     
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