The average speed of a train in the onward jo | vedclass

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Question

Let the average speed of train for return journey be $'x'$ $km/hr$

Average speed in the onward journey $=\frac{3}{4} x \,km / hr$

i.e. A

Vedclass · Accepted Answer

$43.75$

Vedclass · Answer

Let the average speed of train for return journey be $'x'$ $km/hr$

Average speed in the onward journey $=\frac{3}{4} x \,km / hr$

i.e. Average speed for the whole journey $=\frac{800}{16}=50 \,km / hr$

$50=\frac{2(x)\left(\frac{3}{4} xight)}{x+\frac{3}{4} x}=\frac{\frac{3}{2} x^{2}}{\frac{7}{4} x}=\frac{3}{2} 	imes \frac{4}{7} x=\frac{6}{7} x$

$x=\frac{7 	imes 50}{6}\, km / hr$

Speed of train in onward journey $=\frac{3}{4} 	imes \frac{7 	imes 50}{6}=\frac{175}{4}=43.75 km / hr$

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