At noon a train leaves Washington, D.C., headed for Charleston, South Carolina, a distance of 500 mi. The train travels at a spe

Question

4 years ago

5

At noon a train leaves Washington, D.C., headed for Charleston, South Carolina, a distance of 500 mi. The train travels at a spe

ed of 44 mph. At 1 P.M. a second train leaves Charleston headed for Washington, D.C., traveling at 32 mph. How long after the train leaves Charleston will the two trains pass each other?

Mathematics

1 answer:

Bogdan [553] · Answer 1 · 2022-01-13T19:25:13+03:00

Answer:

6 hours

Step-by-step explanation:

Answer:

6 hours

Step-by-step explanation:

Firstly, it is important to know where the train that leaves Washington will get after one hour since they didn't start at the same time between noon and 1 is 1 hour.

Speed = distance / time

Distance = speed * time

The distance S = 44 * 1

S= 44m

To determine the time they will pass each other

500(total distance)- 44 ( distance gotten to in 1 hour) - d(the distance it willl pass each other =44* t(time the train will pass each other.

456-d =44t

Second train

d = 32t

Substituting to the equation

456-32t=44t

456=76t

t= 6 hours.

The time they will pass each other is six hours.