Serviceline Industrial Sensors
Serviceline Explosion Protection

Did You Find Out? Get the Answer to the Riddle of E-News Issue No. 6, November 2019




Solution

If you translate the student's question into a mathematical expression, the resulting equations solve for the following two unknown quantities:

c = Age of chemical plant
a = Age of automation technology

The equation referring to the statement “The chemical plant is seven times as old as the automation technology was when the chemical plant was as old as the automation technology is today” is:

c = 7 * ( a – ( c – a))

c = 7 * ( a – c + a)

c = 7 * (2a – c)

c = 14a – 7c       

8c = 14a             

c = 14a/8

c = (7/4)a


The equation referring to the statement “When the automation technology will be as old as the plant is today, the sum of the age of the chemical plant and the automation technology will be 51 years” is:

c + (c – a) + a + (c – a) = 51

2c – a + a + c – a = 51

3c – a = 51


Plug first equation into second equation:

3 * (7/4)a – a = 51

21/4 a – a = 51

17/4 a = 51 / (: 17/4)

a = 12

According to this, the automation technology is 12 years old today

 

Plugging this result (a = 12) into the first equation yields the age of the chemical plant.

c = (7/4)a

c = (7/4) * 12 = 21

According to this, the chemical plant is currently 21 years old.

 

 

 

 

 


amplify–The Pepperl+Fuchs Magazine

Discover our online magazine! Exciting success stories, application reports, interviews, and regional news are awaiting you.

e-news

Subscribe to our newsletter and receive regularly news and interesting information around the world of automation.

Subscribe