Question

6/10On Labor Day, students started cleaning a street at 9:20 andcompleted the work at 11:52. If they cleaned the street at aconstant rate, at what time did they finish cleaning 3/4? Giveyour answer in a 24-hour clock format, such as 19:00.Enter the answer

Answer 1

`\begin{gathered} \text{First, Subtract the completed work time, 11:52 from start time, 9:20} \\ 11-9=2\text{ hours}\rightarrow120\text{ minutes} \\ 52-20=32\text{ minutes} \\ 120+32=152\text{ minutes} \\ \text{it took them 152 minutes to fully clean} \\ \text{Next, multiply 3/4 to 152 minutes} \\ (3)/(4)*152=114\text{ minutes} \\ 114\text{ mins}\rightarrow60\text{ minutes}+54\text{ minutes} \\ \Rightarrow1\text{ hour}+54\text{ minutes} \\ \text{Add this to the starting time and we have} \\ 9+1=10\text{ hours} \\ 20+54=74\text{ minutes}\rightarrow60\text{ minutes }+14\text{ minutes}\rightarrow1\text{ hour and 14 minutes} \\ \text{Add the 1 hour to the 10 hours and we have} \\ 11\colon14 \\ \text{Therefore, they finished cleaning 3/4 by 11:14} \end{gathered}`