Variation Worksheet Solution3





In this page variation worksheet solution3 we are going to see solution of practice questions from the worksheet variation worksheet.

Question 7

90 teachers are required for a school with a strength 1500 students. How
many teachers are required for a school of 2000 students?

Solution:

Let "x" be the required number of teachers

             Number of teachers                    Number of students

                    90                                            1500

                     x                                             2000

If the number of students increases then the requirement of number teachers should be increase. So it is in direct variation.

                  90 x 2000  = 1500 x x

                       X = (90 x 2000)/1500

                       x = 180000/1500

                       x = 120 teachers


(1) 120 teachers

(2) 180 teachers

(3) 60 teachers

(4) 80 teachers 


Question 8

A car travels 60 km in 45 minutes. At the same rate, how many kilo meters
will it travel in one hour?

Solution:

Let "x" be the distance taken by car to cover the distance in one hour

             Distance covered                             Time taken

                    60 km                                       45 minutes

                     x km                                            60

If the time taken is increases then the distance covered by the car is also increases. So it is in direct variation.

                  60 x 60  = 45 x x

                       X = (60 x 60)/45

                       x = 3600/45

                       x = 80 km


(1) 60 km

(2) 80 km

(3) 130 km

(4) 45 km 


Question 9

A man whitewashes 96 sq.m of a compound wall in 8 days. How many
sq.m will be white washed in 18 days?

Solution:

Let "x" be square meters white washed in 18 days

             Number of  square meters                 Number of days

                    96 sq.m                                       8  days

                     x sq.m                                       18 days

If the number of days taken increases then number of square meter also increase . So it is in direct variation.

                  96 x 18  = 8 x x

                       X = (96 x 18)/8

                       x = 1728/8

                       x = 216 sq.m


(1) 616 sq.m

(2) 850 sq.m

(3) 216 sq.m

(4) 456 sq.m 

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