Question

Lucy walks 11/4 kilometres in 5/6 of an hour. Walking at the same rate, what distance can she cover in 10/3 hours?

Answer 1

$\tt \frac{11}{4} km \: \: in \: ... \: \frac{5}{6} hr$

$\tt \: (let \: it \: be \: 'x') \: \: \: \: ... \: \frac{10}{3} hr$

$\tt \red{by \: cross \: multiplication : }$

$\implies x = \frac{ (\frac{11}{4} )( \frac{10}{3} )}{ (\frac{5}{6}) }$

$\implies x = \frac{ \cancel{110}}{12} \times \frac{6}{ \cancel{5}}$

$\implies x = \frac{22}{ \cancel{12}} \times \cancel 6$

$\implies x = \frac{22}{2}$

$\orange{\bf\therefore x(distance) = 11km}$

Therefore,

She will cover 11km in 10/3hr at the same rate.