Question

a man travelled 3/5 of his journey by train 1/4 by a taxi 1/8 by a bus and the remaining 8 km on foot .what is the total length of his journey
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Answer 1

Answer:

Journey travelled by rail = \frac{3}{5}

5

3

of total journey

Journey covered by taxi = \frac{1}{4}

4

1

of total journey

Journey covered by bus = \frac{1}{8}

8

1

of total journey

Journey covered on foot(by walking) = 2 km

To find: Length of total journey

Let: Total journey be xx km

Solution:

∵ Total journey = Journey travelled by rail + journey travelled by taxi + journey travelled by bus + journey travelled on foot

Now, according to the given question and assumption made,

⇒ 40x = 39x + 8040x=39x+80

⇒ 40x - 39x = 8040x−39x=80

⇒ x = 80kmx=80km

Hence, the length of total journey is 80km.