Maths-

General

Easy

Question

# 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?

Hint:

### ○ Form the equation according to given information..

○ Take variable values as x or any alphabet.

○ Solve the equation to get value of x.

## 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.

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