Question

Tick the correct option for the following.

If a bus travels $150km$ in $3hours$ and a train travels $225km$ in $5hours$ at uniform speeds, then the ratio of the distances travelled by them in one hour is -

• A. $9:19$
• B. $10:19$
• C. $9:10$
• D. $10:9$

Answer 1

The correct option is D

$10:9$

The correct option is (D), $10:9$.
Distance travelled by bus in $3hours$$=150km$

Distance travelled by bus in $1hour$$=\frac{150}{3}=50km$
Distance travelled by train in $5hours$$=225km$

Distance travelled by train in $1hour$$=\frac{225}{5}=45km$

The ratio of the distances travelled by bus and train in one hour$=\frac{Dis\tan cetravelledbybusinonehour}{Dis\tan cetravelledbytraininonehour}$

$=\frac{50}{45}$
$=\frac{10}{9}$ (on dividing numerator and denominator by $5$)

$=10:9$

Hence, Option (D) is the correct answer.