nicolesumagui
Answered

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3.Mario and Kenneth work in a car wash station. The time that Mario takes inwashing a car alone is 20 minutes less than the time that Kenneth takes inwashing the same car. If both of them work together in washing the car, it willtake them 90 minutes. How long will it take each of them to wash the car?


Can you paste here the solution and how you get it for a proof thanks in advance ^^^^

Sagot :

karlnadunza

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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