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Sagot :
First, let us assign variables to Mario and Kenneth:
Let M represent Mario while K for Kenneth
If Mario and Kenneth worked together they will finish the job in 90 minutes and will be represented by:
M + K = 90
Now, Mario can finish the job alone 20 minutes less than Kenneth:
M = K – 20 ,
Then we solve for Kenneth, we put the value for Mario in the
equation:
M + K = 90 into (K – 20) + K = 90
Solve:
K – 20 + K = 90
Add the same variables, always remember they have an invisible 1, so:
1K – 20 + 1K = 90
2K – 20 = 90
Now, we move the whole number at the right side of the equation:
2K = 90 + 20
2K = 110
Next, we now find the value for K by dividing both sides by 2:
2K / 2 = 110 / 2
K = 55
Now, we have the value for Kenneth. He can finish the job in 55 minutes. Next is Mario. Remember that Mario can finish the job alone in 20 minutes less than Kenneth, so:
M = K – 20
M = (55) – 20
M = 55 – 20
M = 35
Therefore, Mario can finish the job 35 minutes while Kenneth by 55 minutes.
M + K = 90
35 + 55 = 90
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