Question

There are 2 machine tools. The capacity of the 1st
machine tool is 20% less than the 2nd one. The 1st
machine tool operated for 5h whereas the 2nd one
operated for 4h and together they machines 2000
work pieces. The number of work pieces machined
by the 19 machine is?
​

Answer 1

Answer:

The number of pieces machined by the 1st machine is 200 per hour and 1000 in 5 hours.

Solution:

Let the numbers of pieces machined by the 1st and the 2nd machine are x and y respectively.

Then by the given conditions,

x = y - (y * 20/100)

or, x = y - y/5

or, x = 4y/5

or, 5x = 4y ..... (1)

and 5x + 4y = 2000

or, 4y + 4y = 2000

or, 8y = 2000

or, y = 250

From (1), we get by putting y = 250

5x = 4 * 250

or, 5x = 1000

or, x = 200

Therefore, the number of pieces machined by the 1st machine is 200 per hour and 1000 in 5 hours.