Question

4. Ramesh travels from town A to town B at an average speed of 45 km/hr and returns at an average speed of 55 km/hr. If the total journey took 8 hours excluding stops, find the distance between Town A and Town B. 5. The numerator of a fraction is 5 less than its denominator. If 2 is subtracted from the numerator and 2 is added to the denominator, the fraction becomes 2/5 .Find the original fraction. 6. After 24 years I shall be 3 times as old as I was 4 years ago. Find my present age.

Answer 1

Answer:

First question:

Let the total distance between A and B = x km,

Then according to the question,

$\frac{x}{45} + \frac{x}{55} = 8$

$\frac{11x}{495} + \frac{9x}{495} = 8$

$\frac{20x}{495} = 8$

$x = 198\text{ km}$

Second question:

Let the denominator of the fraction = x

Then the numerator of the fraction=x-5

According to the question,

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

$\frac{x-7}{x+2} = \frac{2}{5}$

$5x-35 = 2x+4$

$5x-2x = 39$

$3x = 39$

$x = 13$

Therefore, the fraction,

$\frac{13-5}{13} = \frac{8}{13}$

Third question:

Let the age at present = x years,

After 24 age will be x + 24 and 4 year ago age will be x-4

According to the question,

x + 24 = 3(x-4)

x + 24 = 3x - 12

x-3x = -12-24

-2x = -36

x = 18

Therefore, the present age is 18 years.

Answer 2

Answer:

Could u pls elaborate