Help me with my math question pls

Question

Jose can sweep 1/2 of a square yard in 2/3 of an hour. What is his speed in terms of square yards per hour?

Answer 1

Hi Hannah,

You can set up a proportion to help solve this problem. sq. yards/hour = sq.yards/hour

We know that Jose can clean 1/2 sq. yards in 2/3 hour and we want to figure out how many sq. yards in ONE hour.

(1/2)/(2/3) = x/1

We want to figure out how we can go from 2/3 of an hour to 1 hour. A fraction multiplied by its reciprocal is 1 so 2/3 x 3/2 will equal 1 hour. Whatever we do to the bottom, we must also do to the top to keep everything proportional. 1/2 x 3/2 = 3/4.

This means that Jose can sweep 3/4 square yards in 1 hour.

Answer 2

Jose can sweep 1/2 of a square yard in 2/3 of an hour. What is his speed in terms of square yards per hour?

=>

1/2 of a square yard in 2/3 of an hour

so for 1 square yard he will take double time =(2/3 )* 2 =4/3

speed = distance / time = 1 ÷ 4/3 = 1*3/4=3/4

speed is 3/4 per hour