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Solution


Given:
    • The length of field = 500 m
    • The breadth of field = 30 m
    • The length of tank = 30 m
    • The breadth of tank = 20 m, and
    • The height of tank = 12 m

To find:
    • The level of field raised

Approach and Working:
    • Volume of the tank = \(30 * 20 * 12 = 7200 m^3\)
    • Area of field – area of tank = \(500 * 30 – 30 * 20 = 14400 m^2\)

Therefore, level of field raised = \(\frac{7200}{14400} m = 0.5 m = 50 cm\)

Hence, the correct answer is Option B

Answer: B

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Archit3110
Bunuel
A field is 500 m long and 30 m broad. A tank 30 m long, 20 m broad and 12 m deep is dug in the field and the earth taken out is spread evenly over the field. Find the level of the field raised?

A. 35 cm
B. 50 cm
C. 60 cm
D. 65 cm
E. 100 cm

Bunuel : answer options are in cm and given info is in m..
also correct answer choice seems to be missing

area of field ; 500*30 = 15000
vol of dug earth in tank ; 30*20*12 - 7200 m^3

area of field dug =30*20 = 600
15000-600 = 14400
7200/14400 = 0.5 ~ 50 cm IMO B

Hi Archit3110,

I was able to reach till the last step but then could not proceed further. Why do we divide volume by area? How does the division indicate/measure the level raised?

Warm Regards,
Pritish
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