Akash covers 3/8 of his journey by train.2/5 of it by taxi and walks the rest of the distance.if he walks 7/2 km.how much distance did he cover the taxi?
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Answer:
6.2 km distance is covered by taxi.
Step-by-step explanation:
Let the total distance be X.
Distance covered by train =(3/8) X.
Distance covered by taxi =(2/5) X.
Therefore total distance covered by train and taxi is =(3/8) X + (2/5) X =((3×5) X+(2×8)X)/((8×5) =(15+16) X/40 = 31X/40
Distance left = X -(31/40) X= (9/40)X.
Therefore distance covered by waking is (9/40) X.
Now it is given that distance covered by walking is (7/2) km.
Therefore,
(9/40) X = (7/2)
X=(7×40) /(9×2) =280/18=15.56 Km.
Therefore distance covered by taxi is =(2/5) ×15.55 = 6.22km.
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