Answer:
30 minutes
Step-by-step explanation:
Max mow the lawn in minutes = 45
Max can mow a part of lawn in 1 minute = \(\frac{1}{45}\)
We are given that Jan takes twice as long to mow the same lawn.
So, Jane took times to mow the lane = \(2 \times 45 = 90\) minutes
Jane can mow a part of lawn in 1 minute = \(\frac{1}{90}\)
Together they can mow the part of lawn in 1 minute = \(\frac{1}{45}+\frac{1}{90}\)
= \(\frac{3}{90}\)
So, they can mow \(\frac{3}{90}\) part of lawn in 1 minute
So, they can mow whole lawn in minutes= \(\frac{1}{\frac{3}{90}}\)
= \(\frac{90}{3}\)
= \(30\)
Hence it will take 30 minutes to mow the lawn if they work together.
