A train covers a distance of $190$ km in $2$ hours. What distance will it cover in $4 \frac{2}{3}$ hours ?

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Solution

Step 1 : To find out the speed of train.
$S p e e d$ $= \frac{d i s \tan c e t r a v e l l e d}{t i m e t a k e n}$
$= \frac{190 k m}{2 h r}$
$= 95 \frac{k m}{h r .}$
Step 2: To find out the distance travelled by train in $4 \frac{2}{3}$ hours
$D i s \tan c e = s p e e d \times t i m e$
$= 95 \frac{k m}{h r} \times 4 \frac{2}{3} h r . = 95 \frac{k m}{h r} \times \frac{4 \times 3 + 2}{3} h r . = 95 \frac{k m}{h r} \times \frac{14}{3} h r . = \frac{1330}{3} k m$
Hence, the distance travelled by train in $4 \frac{2}{3}$ hours is $\frac{1330}{3} k m .$

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