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1. Imelda, Susan, and Clara are driving go-carts around a track. Imelda takes 14 minutes, Susan takes 9 minutes, adn Clara takes 10 minutes to drive one lap. Suppose all three of them start together at a point and drive at their same speeds. After how many minutes will all three meet again?

2. How many squares with sides that are 6 inchess long are needed to cover a square with a side length of 30 inches without overlapping?

 

 Sep 29, 2014

Best Answer 

 #2
avatar+129849 
+10

For the first one, we just need to find the least common multiple for 9, 10 and 14,,,,so we have

9 = 32

10 = 2 * 5

14 = 2 * 7

So the least common multilple is  32 * 2 * 5 * 7  =  630. And they will meet agiain in 630 minutes = 10.5 hrs.!!!  (Hope they don't run out of gas!!)

For the second one....there will 5 rows of 5 squares each = 25 squares. To see this, note that the area of the big square = 900sq in. And the area of each little square =  36sq in  So, 900/36 = 25 !!

 

 Sep 29, 2014
 #1
avatar+23252 
+10

1)  To find when 14, 9, and 10 all meet, find the lowest common multiple:

     14 = 2 x 7

     9  =  3 x 3

     10  =  5 x 2

Lowest common multiple  =  2 x 7 x 3 x 3 x 5  =  630 minutes

 

2)  It takes 5 squares of 6" each to reach 30"

     Since there will 5 squares in both directions, it will take 25 squares.

     Another way to solve the problem:  30" x 30" square is a total of 900 sq inches

          Each square is 6" x 6" = 36 square inches.

          Divide 900 sq in by 36 sq in to get 25 squares

 Sep 29, 2014
 #2
avatar+129849 
+10
Best Answer

For the first one, we just need to find the least common multiple for 9, 10 and 14,,,,so we have

9 = 32

10 = 2 * 5

14 = 2 * 7

So the least common multilple is  32 * 2 * 5 * 7  =  630. And they will meet agiain in 630 minutes = 10.5 hrs.!!!  (Hope they don't run out of gas!!)

For the second one....there will 5 rows of 5 squares each = 25 squares. To see this, note that the area of the big square = 900sq in. And the area of each little square =  36sq in  So, 900/36 = 25 !!

 

CPhill Sep 29, 2014

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