Question

a bus travel 123 km in 3 hours and train travels 315 km in 5 hours find the ratio of there speed?​

Answer 1

• The ratio of their speed = 2 : 3.

Given :

For bus,

• Distance covered by a bus = 123 km
• Time taken = 3 hours.

For train,

• Distance covered by a train = 315 km.
• Time taken = 5 hours.

To Find :

• The ratio of their speed.

Solution :

First, we have to find the speed of a bus and a train.

Speed of bus.

We know that,

$\mapsto \blue{ \boxed{ \sf{\orange{speed = \dfrac{distance}{time} }}}}$

We have,

• Distance covered by a bus = 123 km.
• Time taken = 3 hours.

$\mapsto \cancel \dfrac{123 \: km}{3 \: h}$

$\mapsto \dfrac{41km}{1h}$

$\mapsto 41 \: km/h$

Hence, the speed of a bus is 41 km/h.

Speed of train.

We know that,

$\mapsto \blue{ \boxed{ \sf{\orange{speed = \dfrac{distance}{time} }}}}$

We have,

• Distance covered by a train = 315 km.
• Time taken = 5 hours.

$\mapsto \cancel \dfrac{315 \: km}{5 \: h}$

$\mapsto \dfrac{63 \: km}{1 \: h}$

$\mapsto 63 \: km/h$

Hence, the speed of a train is 63 km/h.

Now, we have to find the ratio of their speeds.

$\mapsto \blue{ \boxed{ \sf{\orange{ratio \: of \: their \: speed = \dfrac{speed \: of \: a \: bus}{speed \: of \: a \: train} }}}}$

Now we have,

• Speed of a bus = 42 km/h.
• Speed of a train = 63 km/h.

So,

$\mapsto \cancel \dfrac{42 \: km/h}{ 63\: km/h}$

$\mapsto \cancel \dfrac{14}{21}$

$\mapsto \dfrac{2}{3}$

$\mapsto 2 \ratio 3$

Hence,

The ratio of their speed is 2 : 3.