#1**+2 **

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 100^{th}.

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

hectictar
Oct 16, 2017