Question

a man covered 3/7 of his journey by boat,2/7 of his journey by train and the remaining 12 km by foot .what was the total distance travled

Answer 1

Let x = total journey distance

 

  by train  +   by taxi    +   by bus   +   by foot     =   total journey

    (2/5)x  +   (1/3)x    +    (1/6)x   +   10K         =   x

 

To get rid of all fractions, multiply by the LCM of the denominators (this is just like finding the Least Common Denominator).    LCM = 30

 

      12x     +   10x      +      5x       +    300K        =   30x

        27x + 300K =  30x       [group like terms]

         300K =  3x                [subtract 27x from both sides]

          100K = x                 [divide both sides by 3]

 

The total journey was 100 K  

Answer 2

Answer:42 km

Step-by-step explanation:let the total distance covered be (x)

A.T.Q

3/7(x) + 2/7(x) +12=(x)

5/7(x)+12=(x)

(x)-5/7(x)=12

2/7(x)=12

(x)=42