In how many hours will the trains meet?

Two trains 250 km apart are traveling towards each other. If each train travels at 50 km/hr, how many hours will take before the trains pass each other.

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Distance = rate x time
d = rt

One train
rate = 50 {each train travels at 50 km/hr}
time = t {assuming they leave at the same time}
d = 50t {distance = rate x time}

Other train
rate = 50 {each train travels at 50 km/hr}
time = t {assuming they leave at the same time}
d = 50t {distance = rate x time}

Their combined distances will add up to 250 km.

50t + 50t = 250 {added the two distances together and set equal to 250}
100t = 250 {combined like terms}
t = 2.5 {divided each side by 100}

They will pass each other in 2.5 hours.

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