Question 556805
as far as i can tell, the answer is that the bird will have flown 100km.
here's why i think that is the answer.
the trains will take 1 hour to meet each other.
they will meet in the middle since both trains were traveling at the same speed.
the general formula is:
rate * time = distance
they are both traveling the same time, so time = T
train 1 travels a distance of d1
train 2 travels a distance of d2
the total distance is d, so we get d1 + d2 = d
when the trains meet, the sum of the distance they traveled is equal to d.
d is equal to 50
we get d1 + d2 = 50
the formula for the first train is:
25 * T = d1
the formula for the second train is:
25 * T = d2
since we know that d1 + d2 = 50, we can substitute for d1 and d2 to get:
25 * T + 25 * T = 50
combine like terms to get:
50*T = 50
divide both sides of equation by 50 to get:
T = 1
the trains will meet in 1 hour.
the bird is flying all the time.
it is either flying to one train or the other.
the bird flies at 100 km per hour for 1 hour so the bird has flown 100 km by the time the trains meet.