Question

factory A can produce 45 machines in 20 minutes. factory B can produce 30 machines in 15 minutes. if both factories produce machines in 2 hours, which factory will produce more machines? how many more machines will be produced?

Answer 1

Factory A will produce more machines

Factory A produces 30 machines more than factory B

Solution:

Given that,

Factory A can produce 45 machines in 20 minutes

Thus number of machine produced in 1 minute is:

`\rightarrow (45)/(20) = 2.25\left`

Factory B can produce 30 machines in 15 minutes

Thus number of machine produced in 1 minute is:

`\rightarrow (30)/(15) = 2`

Both factories produce machines in 2 hours

Find the number of machines produced factory A in 2 hours

1 hour = 60 minutes

2 hour = 120 minutes

Number of machine in 120 minute = 2.25 x 120 = 270

Thus factory A produces 270 machines in 2 hours

Find the number of machines produced factory B in 2 hours

Number of machine in 120 minute = 2 x 120 = 240

Thus factory B produces 240 machines in 2 hours

Thus,

factory A = 270 machines in 2 hours

factory B = 240 machines in 2 hours

Thus, Factory A will produce more machines

270 - 240 = 30

Thus factory A produces 30 machines more than factory B