Eight engineers with 2 technicians can design a house in 7 hours, which 25 engineers with 13 technicians can do in 2 hours. What fraction of the whole work, can be done in 1 hour by 11 engineers with 20 technicians?Marks : 2Negative Marks : 0Answer here1/21/31/41/5
Question
Eight engineers with 2 technicians can design a house in 7 hours, which 25 engineers with 13 technicians can do in 2 hours. What fraction of the whole work, can be done in 1 hour by 11 engineers with 20 technicians?Marks : 2Negative Marks : 0Answer here1/21/31/41/5
Solution
Let's denote the work done by one engineer in one hour as E and the work done by one technician in one hour as T.
From the first part of the problem, we know that 8E + 2T = 1/7 (since eight engineers and two technicians can complete the house in 7 hours, so they complete 1/7 of the work in one hour).
From the second part of the problem, we know that 25E + 13T = 1/2 (since 25 engineers and 13 technicians can complete the house in 2 hours, so they complete 1/2 of the work in one hour).
We have a system of two equations, and we can solve it to find E and T.
Then, we can substitute E and T into the equation 11E + 20T to find out what fraction of the whole work can be done in 1 hour by 11 engineers with 20 technicians.
However, the problem does not provide enough information to solve the system of equations and find E and T. Therefore, we cannot determine the fraction of the whole work that can be done in 1 hour by 11 engineers with 20 technicians.
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