Given : 1 US gallon = 231 in3 , 1 imperial gallon = 277.42 in3 , 1 in= 2.54 cm,
Solution:
(a)
We know that , 1 L = 1000 cm3 , 1 in = 2.54 cm
1 US gallon = 231 in3 = 231×(2.54)3 cm3 = 3785.41 cm3
So , 1 US gallon = 3.785 L
Now , 1 imperial gallon = 277.42 in3 = 277.42×(2.54)3= 4546.099 cm3
So, 1 Imperial gallon = 4.546L
For Great falls, Montana
3.50 USD per US gallon = 3.50*(1/0.75) CAD per US gallon = 4.67 CAD/US gallon
Now 4.67 CAD/US gallon =( 4.67/3.785) CAD per liter
= 1.23 CAD per liter
For Lethbridge , Alberta
5 CAD per imperial gallon = (5/4.546) CAD per liter
= 1.1 CAD per liter
Answer : The gas is cheaper in Lethbridge, Alberta
(b)
We know that, 1 km= 1000 m and 1 h = 3600 s
So, 1 km/h = (1000/3600) m/s = 0.278 m/s
So, 110 km/h = 110*0.278 = 30.58 m/s
We know that, 1 km = 0.621 mile
So 1 km/h = 0.621 mile per hour
So 110 km/h = 110*0.621 mile per hour = 68.31 miles per hour
Answer: 68.31 miles per hour and 30.58 m/s
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