Question

Paolo helped in the community garden for (11/4) hours this week. That was (11/6) equal-length shifts, because paolo stopped early one day when it started to rain. How long is a single shift?

a) 3/2 hours
b) 5/4 hours
c) 7/4 hours
d) 3/4 hours

Answer 1

A single shift is 3/2 hours long, obtained by dividing the total time Paolo helped (11/4 hours) by the number of shifts (11/6).

Step-by-step explanation:

To determine how long a single shift is, we divide the total time Paolo spent in the community garden by the number of shifts he worked. Paolo helped in the community garden for (11/4) hours, which equates to 2.75 hours. He worked (11/6) equal-length shifts, suggesting that he worked for 11 parts, and each part represents a single shift.

To find the time of one shift, we divide the total hours by the total shifts:

(11/4 hours) ÷ (11/6 shifts) = (11 ÷ 11) ÷ (4 ÷ 6) = 1 ÷ (2/3) = 3/2 hours or 1.5 hours.

Therefore, a single shift is 3/2 hours long, which corresponds to option a) 3/2 hours.