Question

If a day is 3/2 hours longer than a night, what is the length of each? Assume that 1 day and 1 night together 24 hours​

Answer 1

Answer:

length of night is a hours. Length of day will be a+3/2. a + ( a + 3/2 ) = 24 = 2a + 3/2 =24 4a = 48 - 3 =45 a = 45 / 4 = length of night Length of day = 45/4 + 3/2 = 51/4

PLS MARK IT AS BRAINLIEST

Answer 2

Answer:

Night =48/7h

Day=120/7 h

Step-by-step explanation:

Let the value of 1 night be equal to= x

Therefore, the value of one day=

$\frac{3x}{2} + x \\ = \frac{3x}{2} + \frac{2x}{2} = \frac{5x}{2}$

Then, A.T.Q. :-

$\frac{5x}{2} + x = 24 \\ \frac{5x}{2} + \frac{2x}{2} = 24 \\ \frac{7x}{2} = 24 \\ 7x = 24 \times 2 \\ 7x = 48 \\ x = \frac{48}{7}$

So, the value of 1 night = 48/7 h

and the valye of 1 day =

$\frac{5 \times 48 \div 7}{2} = \frac{5 \times 48}{2 \times 7} \\ = \frac{24 \times 5}{7} = \frac{120}{7}$