Variation Worksheet Solution6





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