Question

A person travels 90km by train and taxi to reach his office. The distance travelled by train is twice the distance travelled by taxi.

Answer 1

$\large\sf{\tt \bf{\red{\underline{Given:}}}}$

• A person travels 90km by train and taxi to reach his office.

• The distance travelled by train is twice the distance travelled by taxi.

$\large\sf{\tt \bf{\red{\underline{To \: find:}}}}$

• Distance travelled by Taxi

• Distance travelled by Train

$\large\sf{\tt \bf{\red{\underline{Solution:}}}}$

Let us assume that,

• The distance travelled by taxi be m

• The distance travelled by train be 2m

From the question,

$\sf \tt \bf{m + 2m = 90}$

$\sf \rightarrow \: \: {3m = 90}$

$\sf \rightarrow \: \: {m=\frac {\cancel{^{30} \: 90}}{ \cancel{3 \:_1}}}$

$\orange{\rightarrow\:\:\pmb{m =30}}$

Therefore,

• The distance travelled by taxi m = 30km

• The distance travelled by train be 2m =2(30)=60km