Question

Amit travelled 2÷5 of his journey by train, 1÷3 by taxi, 1÷6 by bus and remaining 6 kilometres on foot . What is the length of his journey?​

Answer 1

Answer:

The length of his journey is 600km

Step-by-step explanation:

Fraction travelled by train = 2/5

Fraction travelled by taxi = 1/3

Fraction travelled by bus = 1/6

distance travelled by foot = 6km

Let the length of his journey be $x$

distance travelled by train = $\frac{2}{5} x$

distance travelled by taxi = $\frac{1}{3} x$

distance travelled by bus = $\frac{1}{6} x$

As per thevquestion,

$\frac{2}{5} x + \frac{1}{6} x + \frac{1}{3}x + 60 = x$

$\frac{27}{30}x +60 = x\\60 = x - \frac{27}{30} x \\60 = \frac{3}{30} x$

$x = 60$×10

$x = 600km$