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Question

An express train takes 1 hour less then a passenger train to travel 132 km between Mysore and Bangalore. If the average speed of the express train is 11 km/hr more than that of the passenger train, form the quadratic equation to find the average speed of express train.

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Solution

Let v be the arg. speed of the passanger train
132v=132v+11+1 (given information)
132v+132×11=132v+v2+11v
v211v132×11=0
v244v+33v132×11=0
v(v44)+33(v44)=0
(v44)(v+33)=0
v=44 v=33 (not allowed)

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