two trains leave a train station at the same time. One travels east at 10 miles per hour, the other travels west at 9 miles per hour. In how many hours will the two trains be 45.6 miles apart?
let x = time it takes for them to be 45.6 miles apart (in hours)
recall: (speed)*(time)=distance
>>since they travel in opposite directions, the distances between the station to their present location will be added.
10x + 9x = 45.6
19x = 45.6
x = 2.4 hours
so there,, =)
To find the time it takes for the two trains to be 45.6 miles apart, we can use the formula:
distance = rate × time
Let's calculate the time it takes for each train to travel the given distance.
For the train traveling east:
distance = rate × time
45.6 miles = 10 mph × time
time = 45.6 miles / 10 mph
time = 4.56 hours
For the train traveling west:
distance = rate × time
45.6 miles = 9 mph × time
time = 45.6 miles / 9 mph
time = 5.07 hours
Since the two trains are traveling in opposite directions, we can add the times it takes for each train to calculate the total time:
total time = 4.56 hours + 5.07 hours
total time = 9.63 hours
So, the two trains will be 45.6 miles apart after approximately 9.63 hours.