SOLUTION: in going a certain distance, a train travelling at the rate of 40 km/h takes 2 hours less than a train travelling at 30 km/h. Find the distance.
Please explain how you logicall
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Question 992875: in going a certain distance, a train travelling at the rate of 40 km/h takes 2 hours less than a train travelling at 30 km/h. Find the distance.
Please explain how you logically thought this question through. I am having trouble setting the question up.
Thank you
Found 2 solutions by stanbon, rothauserc:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
in going a certain distance, a train travelling at the rate of 40 km/h takes 2 hours less than a train travelling at 30 km/h. Find the distance.
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1st train::
rate = 40 km/h ; time = x-2 hrs ; distance = r*t = 40x-80 km
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2nd train:
rate + 30 km/h ; time = x hrs ; distance = r*t = 30x km
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Equation:
dist = dist
30x = 40x - 80
-10x = -80
x = 8 hrs
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Ans: Distance = 30x = 30*8 = 240 km
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Cheers,
Stan H.
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Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
we use rate * time = distance, both trains travel the same distance so we can set their rate * time formulas equal to each other.
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let t be the time it takes the 30 km/h train to travel the distance, then
40 * (t-2) = 30 * t
40t - 80 = 30t
10t = 80
t = 8
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distance traveled by both trains is 8*30 = 240 km
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