Mrs. B decided to have a treasure hunt with her math class. She takes her class out to the playground where she has marked out a 15-yard by 15-yard square region. She also gives her students a map that divides the playground into a coordinate plane. Somewhere within this region, she has buried a box full of prizes for her students, but they need to figure out the coordintes of the treasure's location. They are given 1-hour class time to find the treasure.
As the students begin searching they realize they are able to completely search about 5 square feet per minute. They realize at this pace they will not finish in the 1-hour time limit. At their current rate, how many more hours would they need to guarantee they find the treasure? Express your answer as a decimal to the nearest 100th.
1 yard = 3 feet
15 yards = 45 feet
45 feet * 45 feet = 2025 square feet
They can search 5 sq ft per minute. How many minutes will it take to search 2025 sq ft?
5 sq ft per minute * x minutes = 2025 sq ft
5x = 2025
x = 405
It will take 405 minutes to search the entire area. That is 405 / 60 = 6.75 hours
The question asks how many more hours they need. So they need
6.75 - 1 = 5.75 more hours