Yesterday at 1:00 P.M., Maria’s train was 42 miles north of Gull’s Beach, traveling north at an average speed of 90 mph. At the same time on the adjacent track, Elena’s train was 6 miles north of Gull’s Beach, traveling north at an average speed of 101 mph. To the nearest hundredth of an hour, after how much time will the trains meet up?
Answer:
After 3.27 hours trains will meet up.
Step-by-step explanation:
When two trains are moving on parallel tracks in the same direction then their relative speed will be = Difference of their speeds
And when two trains travel on parallel tracks in the opposite directions then their relative speed is calculated as = Sum of their speeds.
Here the trains are moving in the same directions then their
Relative speed = 101 - 90 = 11 miles per hour
Distance between them = 42 - 6 = 36 miles
So the time to cover up this distance by the trains will be
Speed = distance/ time Or time = distance/speed
time = 36/11 = 3.27 hours
Therefore answer is 3.27 hours