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