Latest TCS Aptitude Question SOLUTION: A power unit is by the bank of a river 1500m wide. It is required to construct a power plant on the side of the river opposite to the power unit and 3000mfrom the unit. A cable has

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A power unit is by the bank of a river 1500m wide.
It is required to construct a power plant on the side of the river opposite to the power unit and 3000mfrom the unit.
A cable has to be laid from the power unit to the power plant.
The cost of laying the cable under water and on the land is Rs 100 per m and Rs 10 per m respectively.
If we want to minimize the total cost of laying the cable,
where should the plant be located?

Solution

since laying the cable under water is costly, so we should lay it along the perpendicular direction to the width of the river for reducing the cost, yet we have to maintain the distance of 3000 m between the power unit and power plant so power plant should be located at 1500 from the river bank.


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Asked In TCS RajkumarMahanta (12 years ago)

Solved Read Solution (3)

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Read Solution (3) :

suchandra raavi  (12 years ago)

Since under water cable is expensive, we need to minimize this length. Clearly minimum length occurs if the cable is laid perpendicular to the width of the river. So the plant should be located 3000m from the power unit on the line which connects power unit and which is perpendicular to the width of the river.

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Harsh Gupta  (12 years ago)

Ans:---1500m from power unit.

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Pradeep  (12 years ago)

To minimize total cost , the plant should be kept exactly at the bank of river.

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