Question

A bus takes $5$ hours more than a train to cover the distance of $900km$ from Vardha to Pune. If speed of the train is $15km/hr$ more than that of the bus, then what is the speed of bus per hour?

• A. $60km$
• B. $75km$
• C. $55km$
• D. $45km$

Answer 1

Answer: (D)

$45km$

Let the speed of bus be v km/hr.
Speed of train = (v+15) km/hr
TIme taken to cover 900 km distance by bus be t=$\frac{900}{v}$ hr
TIme taken to cover 900 km distance by train be t'=$\frac{900}{(v+15)}$ hr
$t-t^{\prime }=5$
$\frac{900}{v}-\frac{900}{(v+15)}=5$
solving this we get speed of bus , $v=45km/hr$