Answer:
54.2 mph
Step-by-step explanation:
Since the drivers leave at the same time and travel in directions 90° from each other, their separation speed can be found using the Pythagorean theorem. Let c represent Cynthia's average speed. Then (c-10) will represent Tim's average speed. Their combined separation speed is 70 miles per hour, so we can write ...
70² = c² +(c -10)²
4900 = 2c² -20c +100 . . . . eliminate parentheses
c² -10c -2400 = 0 . . . . . . . . divide by 2; put in standard form
(c -5)² -2425 = 0 . . . . . . . . . rearrange to vertex form
c = 5 ±5√97 . . . . . . . . . . . . solve for c, simplify radical
c ≈ 54.244 ≈ 54.2 . . . . . . . use the positive solution
Cynthia's average speed was 54.2 miles per hour.
<u>Answer:</u>
The cost of one gallon of gas in Toronto, Canada is $3.458.
<u>Solution:
</u>
Given, One gallon of gasoline in buffalo, New York costs $2.29.
In Toronto, Canada, one liter of gas costs $0.91.
There are 3.8 liters in one gallon.
We have to find how much does one gallon of gas cost in Toronto?
Now, cost of one gallon of gas in Toronto = cost of one litre of gas in Toronto x 3.8 liters for 1 gallon.
Cost of one gallon of gas = 0.91 x 3.8 = 3.458
Hence, the cost of one gallon of gas in Toronto, Canada is $3.458.
Um. i’m pretty sure it’s just 30 feet