Acompany has two types of machines, type r and type s. operating at a constant rate, a machine of type r does a certain job in 36 hours and a machine of type s does the same job in 18 hours. if the company used the same number of each type of machine to do the job in 2 hours, how many machines of type r were used?

6 machines of each type  were used

Step-by-step explanation:

Data provided in the question;

Time taken by R to complete a job = 36 hours

Time taken by S to completed the same job = 18 hours

Let the number of machines used be x for each

Now,

the job completed in 1 hour by R =

thus,

the job completed in 1 hour by x number of type R =

similarly,

the job completed in 1 hour by S =

thus,

the job completed in 1 hour by x number of type S =

Now,

Together time taken by x of each type to completed the job = 2 hours

Therefore, job completed in 1 hour =

also,

=  

or

=  

or

=  

or

=  

or

x = 6

Hence,

6 machines of each type  were used

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