Question 310694: Two trains leave a station at the same time and are travelling in opposite directions. One is travelling at a rate of 35 km/h and the other is travelling at a rate of 65 km/h. In how many hours will the trains be 350 km apart?
Answer by texttutoring(324)   (Show Source):
You can put this solution on YOUR website! You will need to use the formula D=VT, where D=distance, V=velocity (or speed) and T=time. I will use the subscript 1 or 2 to note which train I am talking about. (V1 = velocity of train 1, V2 = velocity of train 2, and so on)
Write down what you know:
V1=35 km/h
V2 = 65km/h
Total Distance, D = 350 km
The total distance is just the sum of each train's distance, because they started at the same point and travelled in opposite directions.
D = D1 + D2
D = V1*t + V2*t
350 = 35t + 65t
350 = t(35+65)
350 = 100t
350/100 = t
3.5 = t
The trains will be 350 km apart after 3.5 hours.
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