A gardener is digging a plot of land.
As he gets tried, he works more slowly.
After min, he is digging at a rate of m2/min.
How long will take him to dig an area of sqm?
minutes
The explanation for the correct answer:
Step 1: Finding the rate of digging the plot of land:
Area of digging = sqm
Rate of digging after minutes =
Integrate both sides with respect to
Step 2: Finding the time for digging:
When then .
But we know that
Thus the equation becomes,
minutes
Hence, option (A) is the correct option.