Question

Rohan travelled 2/5 of his journey by train,1/3 by a taxi,1/6 by a bus and the remaining 3 km on foot.what is the length of the total journey

Answer 1

Let the length of total journey be X km.
According to the given condition,

2/5 × X + 1/3 ×X + 1/6 × X + 3 = X.
2X/5 + X/3 + X/6 +3 = X
L.C.M. of 5, 3 and 6 is 30.
Multiply both side by 30.

12X + 10X + 5X + 90 = 30 X
27X + 90 = 30X
Transpose 27X to Right
90 = 30X - 27X
90 = 3X
Transposing 3 to left.
90/3 = X
30 = X

Answer 2

Answer:

Let the length of total journey be X km. According to the given condition,

2/5 × x + 1/3 xX + 1/6 × X + 3 = X. X 2X/5 + X/3 + X/6 +3 = X L.C.M. of 5, 3 and 6 is 30. Multiply both side by 30.

12X + 10X + 5X +90 = 30 X

27X +90 30X

Transpose 27X to Right

90 30X27X

90 = 3X

Transposing 3 to left.

90/3 = X

30 = X

Step-by-step explanation:

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