Question

The bearing from Winston-Salem, NC to Danville, VA is N 42° E. The bearing from Danville, VA to Goldsboro, NC is S 48° E. A car traveling at 60 miles per hour takes 1 hour to travel from Winston-Salem to Danville and 1.8 hours to travel from Danville to Goldsboro. Find the distance from Winston-Salem to Goldsboro.

a) 168 miles
b) 205 miles
c) 180 miles
d) 120 miles

Answer 1

The distance from Winston-Salem to Goldsboro is 168 miles.

Step-by-step explanation:

Let's consider the first leg of the journey from Winston-Salem to Danville. The bearing is N 42° E, which means the car is traveling northeast. If the car takes 1 hour to travel, and it is traveling at a speed of 60 miles per hour, then the distance it covers is 60 miles.

Now, let's consider the second leg of the journey from Danville to Goldsboro. The bearing is S 48° E, which means the car is traveling southeast. If the car takes 1.8 hours to travel, and it is traveling at a speed of 60 miles per hour, then the distance it covers is 60 * 1.8 = 108 miles.

To find the total distance from Winston-Salem to Goldsboro, we can add the distances from the two legs of the journey. So the total distance is 60 + 108 = 168 miles.

Therefore, the correct answer is option a) 168 miles.