Postal or Sorting Assistants Model Paper 2 With Solutions

Question : 24 of 100

Marks: +1, -0

A tank 30 m long, 20 m wide and 12 m deep is dug in a field 500 m long and 30 m wide. By how much will the level of the field rise, if the earth dug out of the tank is evenly spread over the field?

0.33 m
0.5 m
0.25 m
0.4 m

Validate

Solution:

(b) Volume of the earth taken out

= 30 x 20 x 12 = 7200 m^3

Area of the remaining portion (leaving the area of dug out portion)
=

470 x 30 + 30 x 10 = 14100 + 300 = 14400 m^3

Let h be the height to which the field is raised whenthe earth dug out is spread.
Then,

14400 ×h=7200

∴h=0.5 m

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