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Area and Perimeter of Plane Figures — MATHEMATICS STD 9 — Question

ICSE BoardEnglish MediumSTD 9MATHEMATICSArea and Perimeter of Plane Figures2 Marks
Question
An express train is running between two stations with a uniform speed. If the diameter of each wheel of the train is $42 \ cm$ and each wheel makes $1200$ revolutions per minute$,$ find the speed of the train.
✓

Answer

radius of the wheel $= \frac{42}{2} = 21\ cm$
Circumference of the wheel $= 2\pi \times 21 = 132\ cm$
Distance travelled in one minute
$ 132 \times 1200$
$= 158400\ cm$
$= 1.584\ km$
Hence the speed of the train
$=\frac{1.584\ km }{\frac{1}{60} hr }$
$=95.04\ km / hr .$

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