# 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.

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by hemanta

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by hemanta

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

We know that a day has 24 hours. So,

Now, time of leisure will be = hours

Working time = hours

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