tains A and train B are travling in the same dicrtion on a parral track train A is traving 60 mph and train B is traviling 70 mph train A passes a staion at 11.15 am and train B passes the same station at 11.45 am at what time will train B catch up to train A
B takes time t hr
A takes time (t+1/2) hr
they both go the same distance
70 t =60(t+.5)
70 t = 60 t + 30
t = 3 hours
3 + 11:45 = 2:45 pm
thank you so much im not to good at algebra and this is a very important test thank s again
If I knew it was a test I would not have given you an explicit answer.
its not a test test its a practice one for i know what to look forward to this coming week in my class
Whew !
To find out at what time Train B will catch up to Train A, we need to determine the time difference between when Train A passed the station and when Train B passed the same station.
Let's first calculate the time difference:
Train B passed the station at 11:45 am.
Train A passed the same station 30 minutes earlier (since Train B passed 30 minutes after Train A): 11:15 am.
Now, let's calculate the time difference in hours:
Time difference = Time Train B passed - Time Train A passed
= 11:45 am - 11:15 am
= 0 hours and 30 minutes
= 0.5 hours
Now that we know the time difference is 0.5 hours, we can determine the distance Train B needs to cover to catch up to Train A.
Let's assume the distance between the station and the point where Train A was when it passed the station is "D" miles.
Since Train A was traveling at 60 mph, in 0.5 hours it would have traveled 60 * 0.5 = 30 miles.
Therefore, Train B needs to cover a distance of 30 miles to catch up to Train A.
Now, we can calculate the time it will take for Train B to cover this distance.
The relative speed between the two trains is the difference in their speeds:
Relative Speed = Speed of Train B - Speed of Train A
= 70 mph - 60 mph
= 10 mph
To cover a distance of 30 miles at a speed of 10 mph, Train B will take:
Time = Distance / Speed
= 30 miles / 10 mph
= 3 hours
Adding the time difference of 0.5 hours to the time it takes for Train B to catch up to Train A, we get:
Total Time = Time difference + Time for Train B to catch up
= 0.5 hours + 3 hours
= 3.5 hours
Therefore, Train B will catch up to Train A 3.5 hours after Train A passed the station.
To determine the exact time Train B will catch up to Train A, add 3.5 hours to the time Train A passed the station:
11:15 am + 3.5 hours = 2:45 pm
So, Train B will catch up to Train A at 2:45 pm.