Difference between revisions of "2021 JMPSC Sprint Problems/Problem 9"
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==Solution== | ==Solution== | ||
If the machine splits the metal into <math>6</math> pieces, then it made <math>5</math> cuts. Therefore, it makes <math>1</math> cut every <math>\frac{20}{5}=4</math> minutes. To split the metal into <math>20</math> pieces, the machine has to make <math>14</math> more cuts. This will take <math>14\cdot4=\boxed{56}</math> minutes. | If the machine splits the metal into <math>6</math> pieces, then it made <math>5</math> cuts. Therefore, it makes <math>1</math> cut every <math>\frac{20}{5}=4</math> minutes. To split the metal into <math>20</math> pieces, the machine has to make <math>14</math> more cuts. This will take <math>14\cdot4=\boxed{56}</math> minutes. | ||
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| + | ==See also== | ||
| + | #[[2021 JMPSC Sprint Problems|Other 2021 JMPSC Sprint Problems]] | ||
| + | #[[2021 JMPSC Sprint Answer Key|2021 JMPSC Sprint Answer Key]] | ||
| + | #[[JMPSC Problems and Solutions|All JMPSC Problems and Solutions]] | ||
| + | {{JMPSC Notice}} | ||
Latest revision as of 16:14, 11 July 2021
Problem
A machine cuts a piece of metal at a constant rate. After leaving the machine alone for twenty minutes, the metal has been split into six pieces. How many more minutes will it take until there are twenty pieces?
Solution
If the machine splits the metal into 
pieces, then it made 
cuts. Therefore, it makes 
cut every 
minutes. To split the metal into 
pieces, the machine has to make 
more cuts. This will take 
minutes.
See also
The problems on this page are copyrighted by the Junior Mathematicians' Problem Solving Competition. 
