Question

Jerry is mowing his lawn .it takes him 1/6 of an hour to mow 3/20 of his years .what portion of the yard does jerry now per hour

Answer 1

Given that Jerry mows 3/20 yards of lawn in 1/6 hour.

Now we have to found how much Jerry can mow per hour.

We know that "work" and "time" are in direct proportion so we can setup the ratio of work and time to easily find the required work.

$\frac{Portion \; \; of \; \; lawn \; \; mowed}{time}=\frac{\frac{3}{20}}{\frac{1}{6}}$

$\frac{Portion \; \; of \; \; lawn \; \; mowed}{1}=\frac{\frac{3}{20}}{\frac{1}{6}}$

$Portion \; \; of \; \; lawn \; \; mowed=\frac{3}{20}*\frac{6}{1}$

$Portion \; \; of \; \; lawn \; \; mowed=\frac{18}{20}$

$Portion \; \; of \; \; lawn \; \; mowed=\frac{9}{10}$

Hence final answer is $\frac{9}{10}$ yards.

Answer 2

He mows 9/10 of his yard per hour.

It takes him 1/6 of an hour to mow 3/20 of his yard.  6(1/6) = 1 hour; 6(3/20) = 18/20 = 9/10.