Answer:
x = number of tins filled in 1 minutes = 5 tins
y = number of tins filled in 60 minutes = 288 tins
It will take 5 hours to fill 1440 tins
Explanation:
Number of tins filled : time taken = 24 : 5
Let
x = number of tins filled in 1 minutes
Number of tins filled : time taken = x : 1
Equate both ratios
24 : 5 = x : 1
24/5 = x/1
Cross product
24 * 1 = 5 * x
24 = 5x
x = 24/5
x = 4.8
To the nearest whole number,
x = 5
x = number of tins filled in 1 minutes = 5 tins
(B) 1 hour?
1 hour = 60 minutes
Number of tins filled : time taken = 24 : 5
Let y = number of tins filled in 60 minutes
Number of tins filled : time taken = y : 60
Equate both ratios
24 : 5 = y : 60
24/5 = y/60
Cross product
24 * 60 = 5 * y
1440 = 5y
y = 1,440/5
y = 288 tins
y = number of tins filled in 60 minutes = 288 tins
C. How many hours will it take to fill 1440 tins?โ
Let
z = time taken to fill 1,440 tins
Number of tins filled : time taken = 24 : 5
Number of tins filled : time taken = 1440 : z
24 : 5 = 1440 : z
24/5 = 1440/z
24 * z = 5 * 1440
24z = 7,200
z = 7,200/24
z = 300 minutes
300 minutes = 300/60
= 5 hours
z = 5 hours
It will take 5 hours to fill 1440 tins