Question

Sydelle can wax her SUV in 2 hours. Marques can wax the same SUV in 3 hours. If they work together how long will it take them to wax the SUV?

Answer 1

Answer:

1.2 hours

(this is equivalent to 1 hr, 12 min; also equivalent to 72 min)

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Work Shown:

x = time it takes Sydelle to do full job on her own

y = time it takes Marques to do full job on his own

z = time it takes to do full job if both work together

In this case,

x = 2

y = 3

z = unknown

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1/x + 1/y = 1/z

1/2 + 1/3 = 1/z

3/6 + 2/6 = 1/z

5/6 = 1/z

5*z = 6*1 ... cross multiply

5z = 6

5z/5 = 6/5 ..... divide both sides by 5

z = 6/5

z = 1.2 hours is the amount of time it takes if they work together. This is assuming that one worker does not slow down the other.

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Extra info:

1.2 hours = 1 hour + 0.2 hrs

1.2 hours = 1 hour + (0.2*60 min)

1.2 hours = 1 hour + 12 min

1.2 hours = 1 hour, 12 min

1.2 hours = 60 min + 12 min

1.2 hours = 72 min