Two bullet trains leave the station at the same time traveling in opposite direction. The northbound train goes 125 mph and the southbound train goes 120 mph. After how long will they be 735 miles apart?
distance=relative velocity*time
735=(125+120)t
solve for t.
Let the time traveled by each one be t hrs
distance gone by first = 125t miles
distance gone by 2nd = 120t miles
125t + 120t = 735
245t = 735
t = 3
After 3 hrs, they will be 735 miles apart
To find out how long it will take for the two bullet trains to be 735 miles apart, we can use the formula:
Distance = Speed × Time
Let's assume the time it takes for the two bullet trains to travel is 't' hours.
Distance covered by the northbound train = Speed of the northbound train × Time = 125t
Distance covered by the southbound train = Speed of the southbound train × Time = 120t
According to the problem, the total distance covered by both trains is 735 miles.
So, 125t + 120t = 735
Simplifying the equation:
245t = 735
Dividing both sides by 245:
t = 3
Therefore, it will take 3 hours for the two bullet trains to be 735 miles apart.
To find out how long it will take for the two bullet trains to be 735 miles apart, we can use the formula:
Distance = Speed × Time
Let's assume that the time taken by both trains to reach the desired distance is "t" hours.
For the northbound train:
Distance covered by the northbound train = Speed of the northbound train × Time
Distance = 125 × t
For the southbound train:
Distance covered by the southbound train = Speed of the southbound train × Time
Distance = 120 × t
Since the trains are traveling in opposite directions, we can add their distances together to find the total distance traveled by both trains:
Total Distance = 125t + 120t
According to the question, the total distance is 735 miles. Therefore, we can set up the equation:
125t + 120t = 735
245t = 735
To solve for "t," we divide both sides of the equation by 245:
t = 735 / 245
t = 3
Hence, it will take 3 hours for the two bullet trains to be 735 miles apart.