Question

Jami can mow acre 1/6 in 8 minutes If her rate is constant, can Jami mow 1 1/2 acres in one hour? Explain your reasoning

Answer 1

Time taken by Jami to mow 1/6 acres is 8 minutes=8/60=2/15 hours.
Rate at which Jami is mowing will be:
rate=(number of acres)/(time)=(1/6)/(2/15)
=1/6÷2/15
=1/6×15/2
=5/4 acres/hour
=1.25 acres/hour
From above calculations we conclude that Jami cannot mow 1.5 acres in 1 hour 

Answer 2

Solution:

→ In 8 minutes work done by Jami = $\frac{1}{6}$ acre of land

→ In $\frac{8}{60}$ hour  = $\frac{1}{6}$ acre of land

→ In 1 hour if her rate of doing work is constant work done by jami

                                          =  $\frac{1}{6} \times \frac{60}{8} =\frac{1}{6} \times \frac{10\times6}{4\times 2}=\frac{5}{4}$ acre of land = 1 $\frac{1}{4}$ acre of land.

→But it is given that can jami mow's  1 $\frac{1}{2}$  acre of land in one hour, if he works at constant rate that he was doing from beginning.

→But jami can only mow 1 $\frac{1}{4}$ acre of land in an hour.

So, No jami can't mow 1 $\frac{1}{2}$ acre of land in an hour.