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A field is 500 m long and 30 m broad. A tank 30 m long, 20 m broad and

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A field is 500 m long and 30 m broad. A tank 30 m long, 20 m broad and  [#permalink]

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New post 28 Jan 2019, 08:13
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A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

52% (02:27) correct 48% (02:12) wrong based on 33 sessions

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A field is 500 m long and 30 m broad. A tank 30 m long, 20 m broad and  [#permalink]

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New post Updated on: 29 Jan 2019, 04:36
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Bunuel wrote:
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
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Originally posted by Archit3110 on 28 Jan 2019, 09:53.
Last edited by Archit3110 on 29 Jan 2019, 04:36, edited 1 time in total.
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Re: A field is 500 m long and 30 m broad. A tank 30 m long, 20 m broad and  [#permalink]

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New post 28 Jan 2019, 10:48
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vol of dug earth from tank : 30*20*12 = 7200 m^3
area of field : total area of field - area of tank dug out : 500*30 - 30*20 = 15000 - 600 = 14400 m^2
level raised = vol. of earth/area = 7200/14400 = 0.5m = 50cm (Option B)
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Re: A field is 500 m long and 30 m broad. A tank 30 m long, 20 m broad and  [#permalink]

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New post 29 Jan 2019, 04:31

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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Re: A field is 500 m long and 30 m broad. A tank 30 m long, 20 m broad and   [#permalink] 29 Jan 2019, 04:31
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