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

→ In 8 minutes work done by Jami =
`(1)/(6)` acre of land

→ In
`(8)/(60)` hour =
`(1)/(6)` acre of land

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

=
`(1)/(6) * (60)/(8) =(1)/(6) * (10*6)/(4* 2)=(5)/(4)` acre of land = 1
`(1)/(4)` acre of land.

→But it is given that can jami mow's 1
`(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
`(1)/(4)` acre of land in an hour.

So, No jami can't mow 1
`(1)/(2)` acre of land in an hour.

Answer 2

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