Question

A rectangle field is 154 m long and 121 m broad. A well of 14 m length and 11 m breath is dug inside the field and the mud taken out is spread evenly over the remaining field to a thickness of 25 cm. Find the depth of the well.

Answer 1

Let depth of well be 'h' m.

thus,volume of well=(14x11xh)m=154h m³

again,

volume of mud dug out

=(area of rectangle -surface area of well)   x   increase in depth

=[(154x121)-(14x11)]x(25/100)m³=18479.75 m³

thus,154 h=18479.75

thus, h=18479.75/154=120(approx.)

Ans:120m