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        the cost of fuel for running a bus is proportional to the square of the speed generated in km/hr. it costs Rs.48 per hour when the bus is mooving at the speed of 20km/hr .what is the most economical speed if the fixed charges are Rs.108 for an hour,over and above the running charges.
8 years ago

Jitender Singh
IIT Delhi
158 Points
										Ans:Let cost of fuel be ‘P’ Rs/hr & spped of vehicle be ‘v’ in km/hr.$P \alpha v^{2}$$P = av^{2}, a = constant$$48 = a(20)^{2}$$a = \frac{48}{20^{2}} = \frac{3}{25}$$P = \frac{3}{25}v^{2}$There is something missing in the question. How much distance bus need to cover should mention. Otherwise, at$P = 108 (\frac{Rs.}{hr})$$108 = \frac{3}{25}v^{2}$$v = 30 (\frac{km}{hr})$Thanks & RegardsJitender SinghIIT DelhiaskIITians Faculty

3 years ago
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