SOLUTION: Bob's frog can travel 6 inches per jump, Kim's frog can travel 9 inches, and Jack's frog can travel 13 inches. If the three frogs start off at point 0 inches, how many inches wi

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Bob's frog can travel 6 inches per jump, Kim's frog can travel 9 inches, and Jack's frog can travel 13 inches. If the three frogs start off at point 0 inches, how many inches wi      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 274904: Bob's frog can travel 6 inches per jump, Kim's frog can travel 9 inches, and Jack's frog can travel 13 inches. If the three frogs start off at point 0 inches, how many inches will it be to the next point that all three frogs touch?

Answer by ptaylor(2198) About Me  (Show Source):
You can put this solution on YOUR website!
OK. We need to find the Least Common Multiple (LCM) of 6, 9 & 13. To do this we will break each of the numbers down into their prime factors:
6=3*2
9=3*3=3^2
13=1*13
Next, we take the highest power that appears for each of the prime numbers and we get:
2, 3^2&13. Now we multiply these together to get the LCM:
18*13= 234 inches to the next point that all three frogs touch
CK
frog 1 makes 39 jumps to get to 234 inches
frog 2 makes 26 jumps to get to 234 inches
frog 3 makes 18 jumps to get to 234 inches
Hope this helps---ptaylor