two trains leave at the same time from stations 284 miles apart, traveling toward each other at 33mph and 38 mph respectively. how long will it take them to meet?
Leng of path is product of speed and time.
Leng of path of first train is 33*t
Leng of path of second train is 38*t
Sum of that two path must be 284 miles.
33*t+38*t=71*t
71*t=284 Divide with 71
t=284/71= 4 hours
To find out how long it will take for the two trains to meet, we can use the concept of relative speed. Since the two trains are moving towards each other, their speeds will add up.
The first train is traveling at 33 mph and the second train is traveling at 38 mph. So, the combined speed of the two trains is 33 mph + 38 mph = 71 mph.
Since they are starting at stations 284 miles apart, their total distance to cover is 284 miles. To figure out the time it will take for them to meet, we can divide the distance by the combined speed:
Time = Distance / Speed
Time = 284 miles / 71 mph
Time = 4 hours
Therefore, it will take them 4 hours to meet.