Question

A man takes 5hr 45min in walking to certain place and riding back. he would have gained 2hrs by riding both ways. the time he would take to walk both ways is?

Answer 1

GIVEN ;-

⇒Total. time taken in walking to a certain place and riding back = 5 h 45 m

⇒Time saved by riding both the ways =  2 hours

To Find ;-

Time taken to walk both the ways = ?

Sol ;-

⇒Distance travelled by man is not mentioned in the question  , so let us take distance as x metre in order to avoid confusion.

⇒

 Time taken to walk x km + Time taken to ride x km = 5 hour 45 min
                                                { According to the question - ''A man takes 5 hours 45 min. in walking to a certain place and riding back''}


⇒ =5 45 \60 hour = 5  3 \4 hour = 23  \  4 hour .......{ Let us take this as equation no .1}

⇒Then ,

Time taken to ride {2 × x km] = 5 h 45 m - 2 = 3 h 45 m
                         
                                                    [ Because in the question it has been written that ''He would have gained 2 hours by riding both ways'' . so we subtract it from total time taken]. 

= 3 45 \60 hour = 3  3\ 4 hour = 1  5\4 hour..{ Let us take this as Equation 2 }

⇒By solving  equation 1 and 2 we get as -
 
{Equation 1 × Equation 2}

⇒Time taken to walk 2x km+ Time taken to ride 2x km =

⇒  23  \  2  hrs .. [ Let us take this as equation 3 }

⇒Subtract equation 3 from equation 2 -

So we get as  ⇒ 23 \ 2    -   15    \   2   = 31 \4 hrs

So we get as 7     3  \ 4 ..

⇒So the answer is 7 hrs 45 min