Question

A man takes 5 hours 45 min. in walking to a certain place and riding back. He would have gained 2 hours 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

Answer 2

Answer:

Step-by-step explanation:

Walking +riding 5 hours 45 min

Gained 2 hours

Total 7 hours 45 min answer