Question

leisure time : working time are in the ratio 1:5 , how many hours in a day are spent on leisure and how many on work. 

Answer 1

Ratio of leisure time to working time is 1:5

Let the hours of leisure be 1x and that of working be 5x

We know that a day has 24 hours. So,

$1x+5x = 24$

$6x=24$

$x= \frac{24}{6}$

$x=4$

Now, time of leisure will be  = $1x = 1*4=4$ hours

Working time = $5x=5*4=20$ hours

Answer 2

If the ration of leisure time to working time is 1:5 then
let leisure time be 1x                                                                                   (i)
and working hours be 5x                                                                             (ii)
Hours in a day=24
Now, 
According to the question 
1x+5x=24
6x=24
x=24/6
x=4
hence we get the value of x =4
now putting the value of x in (i) n (ii) we get
Leisure time = 1*x=1*4=4 hours
Working hours= 5*x=5*4=20 hours
Hence the leisure time= 4 hours and working time=20 hours