Lovelytorres1117idn
Answered

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11-15. Five people can finish the painting a wall in 4 hours. If only 2 people are available, how many hours do they have to work to finish the same job?
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Sagot :

Arianekeirtpatalinidn

Answer:First, let us determine the constants and the variables by representing them. Let us use “w” for work done; let “n” the number of people; let “r” be the rate of work each people can do; and, “t” for the time each work is done.

 

Second, one (1) “w” can be finished by five people within five hours, or:

w = (n)(r)(t)

1 = 5r(5)

1 = 25r

r = 1/25 which means that the rate of one person is 1/25.

 

Thus, if there are two (2) people that can do the same rate of work, then:

w = (n)(r)(t)

Substitute necessary values:

1 = 2(1/25)t

1 = (2/25)t

t = 25/2

t = 12.5 hours

 

For two people to finish painting the wall, the job will last for 12.5 hours.

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