Question

Aanya lives in Ohio. She immigrated with her family from India to North America. Aanya wants to visit a cousin in Toronto by driving. The gate person at the Peace Bridge in Buffalo, NY tells her that Toronto is 500 km north on Highways 400/401. How far is that in miles? After Aanya arrives, she and her cousin compare efficiencies of their cars. Aanya’s car averages 30 mi/gallon, but she needs to convert that to km/liter. Using the conversions 1 km = 0.62 mi, 1 mi = 1.61 km, and 1 qt = 0.946 liters, determine the distance from the Peace Bridge to Toronto in miles and the efficiency of Aanya’s car in km/liter (hint on the latter—first get km/gallon, then km/liter). Both parts of an answer must be correct.

(a) 300 mi, 48.3 km/liter (b) 310 mi, 12.76km/liter (c) 320 miles, 14 km/liter

(d) 330 miles, 7.5 km/liter (e) 620 miles, 48.3 km/liter (f) none of the above

Answer 1

(b) 310 mi, 12.76km/liter

Explanation:

We are told that Toronto is 500 km north on Highways. Since 1 km = 0.62 mi, then Toronto is: 500 × 0.62 = 310 miles

Aanya’s car averages 30 mi/gallon.

We are told that 1 mi = 1.61 km

Thus, her average is now;

30 × 1.61 km/gallon = 48.3 km/gallon

We are told that 1 qt = 0.946 liters

But also, 0.25 gallon = 1 qt

Thus;

0.25 gallon = 0.946 litres

Thus, 1 gallon = 0.946/0.25 litres = 3.784 litres

Thus, 48.3 km/gallon to km/litres = 48.3/3.784 = 12.76 km/litres

Answer is 310 miles and 12.76 km/litres