Question

A train is travelling at a constant speed covers a distance of $320km$ in $6$ hours $40$ minutes. The distance covered by the train in $1$ hour $15$ minutes is

• A. $320km$
• B. $120km$
• C. $100km$
• D. $60km$

Answer 1

The correct option is D $60km$

Speed $=\frac{\text{Distance}}{\text{Time}}$
$=\frac{320km}{6hr40mins}$
$=\frac{320km}{(6\times 60+40)min}$

$=\frac{320}{360+40}km/min$
$=\frac{360}{400}km/min$

$=0.8km/min$

$\therefore$ distance covered by train in $1$ hr $15$ mins
$=\text{Speed}\times \text{Time}$
$=\frac{8}{10}\times (60+15)$
$=\frac{8}{10}\times 75$
$=60km$