a man Travels 3/ 4 of his journey by bus 5 by taxi and remaining 5 km. on foot find total distance of his journey
Answers
Answered by
10
If Total journey be “x” km away
3x/4 + 5 + 5 = x
10 = x/4
x = 40 km
Total distance of his journey is 40 km
3x/4 + 5 + 5 = x
10 = x/4
x = 40 km
Total distance of his journey is 40 km
Answered by
2
[tex]Hi friend ! \\
Let the total distance of his journey be "x kilometres" \\
Then A.T.Q :-[/tex]
[tex] \frac{3x}{4} + 5 + 5 = x \\ \\ \frac{3x}{4} + 10 = x \\ \\ \frac{3x}{4} - x = -10 \\ \\ \frac{3x}{4} - \frac{4x}{4} = -10 \\ \\ \frac{-x}{4} = -10 \\ \\ -x = -40 \\ \\ x = 40 [/tex]
∴ Total distance of his journey = 40 km
[tex] \frac{3x}{4} + 5 + 5 = x \\ \\ \frac{3x}{4} + 10 = x \\ \\ \frac{3x}{4} - x = -10 \\ \\ \frac{3x}{4} - \frac{4x}{4} = -10 \\ \\ \frac{-x}{4} = -10 \\ \\ -x = -40 \\ \\ x = 40 [/tex]
∴ Total distance of his journey = 40 km
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