SOLUTION: Working together, Kali and Sumalee can wash a car in 6 minutes. Had she done it alone it would have taken Sumalee 10 minutes. How long would it take Kali to do it alone? (Round you
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Question 1122719: Working together, Kali and Sumalee can wash a car in 6 minutes. Had she done it alone it would have taken Sumalee 10 minutes. How long would it take Kali to do it alone? (Round your answer to the nearest hundredth)?
Working together, K. and S. make of the job per minute.
It is their combined rate of work.
Working alone, S. makes of the job per minute.
Hence, the K.'s rate of work is the difference - = = = .
It means that K. needs 15 minutes to complete the job working alone.
You can put this solution on YOUR website! K does it in x minutes. In 1 minute, she does 1/x
S does it in 10 minutes. In 1 minutes, she does 1/10
(1/10)+(1/x)=(1/6)
multiply by 30x
3x+30=5x
2x=30
x=15 minutes for Kali
In 1 minute, K does 0.0667 and S does 0.1, which is 0.16667 of the car in 1 minute. That is 1/6 th, so they do it together in 6 minutes.
You can put this solution on YOUR website! S痴 Rate: [ 1 car washed ] / [ 10 min ]
K痴 rate: [ 1 car washed ] / [ t min ]
Rate together: [ 1 car washed ] / [ 6 min ]
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Add their separate rates to get their
Rate working together
Multiply both sides by
Kali can do it alone in 15 min
Check:
OK
