SOLUTION: If , It took 8 mens 10 hours to build a wall how long will it take for a single man to do it ?

Question 919980: If , It took 8 mens 10 hours to build a wall how long will it take for a single man to do it ?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
the formula to use in this type of problem is:

r*p*t = q

r is the rate of work per person.
p is the number of people.
t is the time
q is the quantity.

in this problem.
p = 8 men
t = 10 hours
q = 1 wall

replace p and t and q in the equation and you get:

r*p*t = q becomes:

r*8*10 = 1

simplify to get:

r*80 = 1

divide both sides of the equation by 80 to get:

r = 1/80

1 man can build 1/80 of the wall in 1 hour.

confirm by replacing r with 1/80 in the original problem to get:

1/80 * 8 * 10 = 1

simplify to get 80/80 = 1 which then becomes 1 = 1.

this confirms the rate per person is correct.

now you want to know how long it will take one man to build the wall.

r*p*t=q becomes:

r = 1/80
p = 1
t = what you want to find.
q = 1

equation becomes:

1/80 * 1 * t = 1

simplify to get:

1/80 * t = 1

multiply both sides of this equation by 80 to get:

t = 80

it will take one man 80 hours to build the wall by himself assuming he works at the same rate of 1/80 of the wall per hour.

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