39 persons can repair a road in 12 days, working 5 hours a day.

39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 15 persons, working 6 hours a day, complete the work?

Answer/Solution

Steps/Work

Let the required number of days be x.
Less persons, More days (Indirect Proportion)
More working hours per day, Less days (Indirect Proportion)
Persons 15 : 39 :: 12 : x
Working hours/day 6 : 5
15 x 6 x x = 39 x 5 x 12
x = (39 x 5 x 12)/(15 x 6)
x = 26.
ANSWER:D

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persons can repair a road in days, working hours a day. In how many days will persons, working hours a day, complete the work?

Calculated Answer

Step by Step Solution

In order to solve problem, you must evaluate (n₂ * n₀ * n₁) / (n₃ * n₄).

n₀ =	39
n₁ =	12
n₂ =	5
n₃ =	15
n₄ =	6

(n₂ * n₀ * n₁) / (n₃ * n₄)
Evaluate n₀ * n₁ = 468
(n₂ * 468) / (n₃ * n₄)
Evaluate n₂ * 468 = 2340
2340 / (n₃ * n₄)
Evaluate n₃ * n₄ = 90
2340 / 90
Evaluate 2340 / 90 = 26
26
The answer to the problem and the result of (n₂ * n₀ * n₁) / (n₃ * n₄) is 26

Quiz

Answer/Solution

Steps/Work

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Calculated Answer

Step by Step Solution