Vihan’s class is making care packages to give to victims of a natural disaster. Vihan packs one box in 5 minutes and has already packed 12 boxes. His friend Simaran packs one box in 7 minutes and has already packed 18 boxes. How many more minutes does each need to work in order to have packed the same number of boxes?

The correct answer is: ⇒ x = 105

○ Given:
Vihan packs one box in 5 minutes and has already packed 12 boxes.
Simaran packs one box in 7 minutes and has already packed 18 boxes.
○ Step 1:
○ Let the number of minutes they work be x minutes.
First consider case of Vihan:
5 minutes  = 1 box
1 minutes =  box
So, in
x minutes =  box
Hence, at end of x minutes number of boxes made by Vihan will be
12 +  box
Now, considet case of Simaran:
7 minutes  = 1 box
1 minutes =  box
So, in
x minutes =  box
Hence, at end of x minutes number of boxes made by Vihan will be
18 +  box
○ Step 2:
○ Now equate the no. of boxes made by both:
12 +  = 18 + 
-  = 18 - 12
= 6
7x -5x = 6  35
2x = 210
x = 
x = 105

• Final Answer:

Hence, after 105 minutes of work they will have same number of boxes made.