From points A and B, the distance between which is 1020 mi
The speed of one train was 10 mph greater than the speed of the other one
Let the Speed of first train is x
Speed of second train is x+ 10
Time = 5 hours
Distance = speed * time
Distance traveled by first train = x * 5= 5x
Distance traveled by second train = (x+10) * 5= 5x + 50
the trains had not met yet and were 170 mi apart.
the distance between A and B is 1020 mi, Distance traveled by two trains = 1020 - 170 = 850 miles
Distance traveled by first train + second train = 850
5x + 5x + 50 = 850
10x + 50 = 850
Subtract both sides by 50
10x = 800
x= 80
Speed of first train is 80 miles per hour
Speed of second train is 90 miles per hour
The speed of the trains are 80 mph and 90 mph
Speed is the ratio of distance travelled to time taken. It is given by:
Speed = distance/time
Let the distance travelled by the train moving at 10 mph greater after 5 hours be d₁ while he distance travelled by the train moving at x mph after 5 hours be d₂, hence:
x + 10 = d₁/5
d₁ = 5x + 50
x = d₂/5
d₂ = 5x
d₁ + d₂ = 1020 - 170
d₁ + d₂ =850
5x + 50 + 5x = 850
10x = 800
x = 80 mph
x + 10 = 90 mph
Hence the speed of the trains are 80 mph and 90 mph
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