Question

a man travelled 1/4 of distance by taxi 3/5by train 1/8 by bus remainning 8km on foot find length oftotal journey

Answer 1

Hope u like my process
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=> Let the total journey be of x km

=> Total distance travelled by taxi = $\frac{1}{4} x \: \: km$

=> Total distance travelled by train = $\frac{3}{5} x \: \: km$

=> Total distance travelled by bus =$\frac{1}{8} x \: \: km$

=> Total distance travelled on foot =8 km

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By problem,
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$= > \bf \frac{1}{4} x + \frac{3}{5}x + \frac{1}{8} x + 8 = x \\ \\ = > x - \frac{1}{4} x - \frac{1}{8} x - \frac{3}{5} x = 8 \\ \\ = > \frac{(8 \times 5)x - (2 \times5 )x - 5x - (3 \times 8)x}{(8 \times 5)} = 8 \\ \\ = > \frac{40x - 10x - 5x - 24x}{40} = 8 \\ \\ = > \frac{x}{40} = 8 \\ \\ \bf= > x = 40 \times 8 = \underline{ 320 \: \: km}$

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So,

Total journey is of 320 km
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Hope this is ur required answer

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