Posted by ssssss on Monday, April 2, 2012 at 8:35am.
Paul has 3 pieces of rope of length 36cm,40cm,and 48cm respectively. He needs to select 2 out of the 3 pieces and cut them into smaller pieces of equal length. What is the greatest possible length of each smaller piece if there is to be no wastage?

MATHS  bobpursley, Monday, April 2, 2012 at 8:53am
why wouldn't he take the longest two, cut them into 36cm pieces?

MATHS  Steve, Monday, April 2, 2012 at 10:23am
I'd say it's because they are to be cut from 2 of the pieces. That is, which two ropes have the largest common factor?
36 = 12*3
40 = 8*5
48 = 12*4
Looks to me like 12cm is the longest piece that divides evenly 2 of the 3 original lengths.
Answer This Question
Related Questions
 Math  Tom has three pieces of rope with lengths of 140 cm, 168 cm and 210 cm. ...
 math  STRING LENGTHS: You have two pieces of string. One is 27 cm long. The ...
 MATH  Debbie has two pieces of rope one 20ft.long the other 14ft. Long for a ...
 Math  Benita has 3 ropes measuring 54 centimeters, 108 centimeters and 189 ...
 Maths  A long wire of some length is cut into small pieces of 216cm leave a ...
 Meters  Vincent has cut three pieces of rope to complete a science project. Two...
 Maths  A long wire of some length is cut into small pieces of 216 cm leave a ...
 Math  A rope of 17 1/2 feet long is cut into 7 pieces. If the pieces are the ...
 Algebra  A wire of length L is cut into two pieces of length X and Y ...
 Maths  A metere long strip is cut into 12 equal pieces. What is the length of ...
More Related Questions