amit travelled 2/5 of his journey by train and 1/3 by taxi 1/6by bus and remaining 6 kilometers on foot find lenght of his journey
Answers
Train = 2/5 (Given)
Taxi = 1/3 (Given)
Bus = 1/6 (Given)
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STEP 1: Find remaining part of the journey:
Remaining journey = 1 - 2/5 - 1/3 - 1/6 = 1/10
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STEP 2: Form equation:
Remaining journey = 1/10
Remaining journey = 6 km
1/10 of the journey = 6km
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STEP 3: Find the total length of the journey:
1/10 = 6 km
10/10 of the journey = 6 x 10 = 60 km
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Answer: The total length of the journey is 60 km
Let the total be journey be x2/5x+1/3x+1/6x+6=x6/15x+5/15x+1/6x+6=x11/15+1/6+6=x22/30x+5/30+6=x27/30x+6=x6=30x/30-27x/306=3x/306×30=3x120=3x120/3=x60=x