Two cars leave an intersection at the same time. One is headed south at a constant speed of 30 miles per hour; the other is head
ed west at a constant speed of 40 miles per hour. What is the distance between the cars in 30 minutes?
1 answer:
13.23 miles
Step-by-step explanation:
The vector creates an inverted right-angled triangle. The westbound car will have covered 20 miles while the southbound car will ahve covered 15 miles in 30 mins;
40 miles /hr * ½ hr = 20 miles
30 miles/ hr * ½ hr = 15 miles
To find the hypotenuse (distance between the two cars), we shall use the formulae;
a² + b² = c²
20² + 15² = c²
c² = 20² – 15²
c² = 175
c = 13.23
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