It took 2 men 5 hours to build an airstrip. Working at the same rate, how many additional men could have been hired in order for the job to have taken 1/hour less? (A) Two (B) Three (C) Four (D) Six

Respuesta :

Answer with explanation:

Time taken by 2, men to build an airstrip = 5 hours

Time taken by 1, men to build the airstrip = 2 × 5

                              =10 hours

Since ,time is inversely proportional to Number of people working and if rate of doing work is Higher time will be less.

Using Unitary method

[tex]M_{1}T_{1}R_{1}=M_{2}T_{2}R_{2}\\\\R_{1}=R_{2}\\\\T_{2}=4\\\\2 \times 5 \times R_{1}=M_{2}\times 4\times R_{2}\\\\M_{2}=\frac{10}{4}\\\\M_{2}=2.5[/tex]

Number of Men can't be a fraction.So total number of men should be 3 to accomplish the work in 4 Hours.

Earlier 2, men were working to complete the work in 5 days.

Now, 3 men are working to accomplish the work in 4 days.

So,Total number of extra men Added

      = 3-2=1

None of the option , matches with the Answer i got.