Question

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

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Answer 1

30 km

Step-by-step explanation:

Let the total distance be x km

Distance traveled by train = 2x/5 km

Distance traveled by taxi = x/3 km

Distance traveled by bus = x/6 km

Distance traveled on foot = 3 km

According to question,

2x/5+ x/3+ x/6+ 3km = x km

=>2x/5+ x/3+ x/6- x = -3km

=>(12x +10x +5x)/30 - x = -3km

=>27x/30 - x = -3km

=>(27x - 30x)/30 = -3 km

=> -3x/30 = -3km

=>3x = 3 × 30 km

=> x = 90 km / 3

Therefore, x = 30 km.

Total distance = x = 30 km

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