In this page variation worksheet solution6 we are going to see solution of practice questions from the worksheet variation worksheet.

**Question 15**

There are 800 soldiers in an army camp. There is enough provisions for them

for 60 days. If 400 more soldiers join the camp, for how many days will

the provisions last?

**Solution:**

Let "x" be the required number of days

Number of teachers Number of days

800 60

1200 (800 + 400) x

Since number of soldiers is increasing then number of days decrease because of having same quantity of provision for both case. This is in inverse variation.

800 **x** 60 = 1200 **x **x

X = (800** x **60)/1200

x = 48000/1200

x = 40 days

**(1) 40 days **

(2) 80 days

(3) 60 days

(4) 15 days

**Question 16**

A wheel makes 48 revolutions in 3 seconds. How many revolutions does it

make in 30 seconds?

**Solution:**

Let "x" be the number of revolutions in 30 seconds

Number of revolutions Seconds

48 3

x 30

Here time is increasing. So number of revolutions also increase. It is in direct variation.

48 **x** 30 = 3 **x **x

X = (48** x **30)/3

x = 1440/3

x = 480 revolutions

(1) 160 revolutions

(2) 180 revolutions

**(3) 480 revolutions**

(4) 150 revolutions

**Question 17**

A film processor can develop 100 negatives in 5 minutes. How many

minutes will it take to develop 1200 negatives?

**Solution:**

Let "x" be the number of minutes to develop 1200 negatives

Number of negative Number of minutes

1000 5

1200 x

Here the number of negatives is increasing so the number of minutes will also increase. It is in direct variation.

1000 **x** x = 5 **x **1200

X = (5** x **1200)/1000

x = 6000/1000

x = 6 minutes

(1) 5 minutes

**(2) 6 minutes**

(3) 8 minutes

(4) 15 minutes

**Question 18**

There are 36 players in 2 teams. How many players are there in 5 teams?

**Solution:**

Let "x" be the required number players

Number of players Number of teams

36 2

x 5

Since number of teams is increasing so the number of players also increase. It is in direct variation

36 **x** 5 = x **x **2

X = (36** x **5)/2

x = 180/2

x = 90 players

(1) 5 minutes

**(2) 90 players**

(3) 8 minutes

(4) 15 minutes

variation worksheet solution6 variation worksheet solution6 variation worksheet solution6

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- Square
- Finding square root
- Exponents and scientific notation
- Fraction
- Types of fraction
- Fraction Worksheets
- Adding like fractions
- Fraction word problems
- Comparing fractions
- Fraction into percent
- Percent int o fraction
- Area of circle
- Perimeter of circle
- Area of rectangle
- Perimeter of rectangle
- Area of square
- Perimeter of square
- Area of rhombus
- Perimeter of rhombus
- Area of parallelogram
- Perimeter of parallelogram
- Area of trapezium