## 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 variation worksheet solution3  variation worksheet solution3