Question

A train got derailed and ${\frac{11}{14}}^{th}$ of the length of the train was found off the track. If the length of the train was 322 m, find out what length of the train was found off the track? What length of the train was still on track? [4 MARKS]

Answer 1

Steps: 2 Marks
Answers: 2 Marks




Given the length of the train is 322 m

Let x metres be the length that was found off the track. Then using unitary method we have



Or, $x\times \frac{14}{14}=322\times \frac{11}{14}$

Or, $14x=322\times 11$

$\therefore x=\frac{322\times 11}{14}$

$=\frac{322}{14}\times 11$

$=23\times 11$

$=253metres$

The total length of the train = 322 m
Total length of the train off the track = 253 m
So, the length of the train which was still on track = 322 - 253 = 69 m.