<PRE><B>Question 937744</B>
A train travels 300km at a constant speed of Vkm/h. If the train had travelled 5km/h faster, the journey would have taken two hours less. Find the speed of the train travelling at the lower speed.
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Original DATA:
dist = 300 km ; rate = V km/hr ; time = d/r = 300/V hours
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Faster DATA:
dist = 300 km ; rate = (V+5)km/hr ; time = 300/(V+5) hrs
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Equation:
time - time = 2 hrs
300/V - 300/(V+5) = 2 hrs
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300V + 1500 - 300V = 2V(V+5)
2V^2 + 10V - 1500 = 0
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V^2 + 5V - 750 = 0
Factor::
(V-25)(V+30) = 0
Positive solution::
Ans:: V = 25 km/hr
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