Question

A salesman travelled

Answer 1

$\frac{9}{40}$ of his journey he still has to complete .

Step-by-step explanation:

Here we have , A salesman traveled  2/5 of his journey before lunch and 3/8 of his journey after lunch. We need to find  What fraction of his journey has he still to complete . Let's find out:

Let , total journey of salesman to travel be x . So , A salesman traveled  2/5 of his journey before lunch and 3/8 of his journey after lunch . Let , y be the fraction of his journey has he still to complete . So , According to question:

⇒ $y+\frac{2x}{5} +\frac{3x}{8} =x$

⇒ $y+\frac{2x(8)+3x(5)}{5(8)} =x$

⇒ $y+\frac{16x+15x}{5(8)} =x$

⇒ $y+\frac{31x}{40} =x$

⇒ $(y+\frac{31x}{40} )-\frac{31x}{40}=x-\frac{31x}{40}$

⇒ $y=\frac{40x-31x}{40}$

⇒ $y=\frac{9x}{40}$

Therefore , $\frac{9}{40}$ of his journey he still has to complete .