Find the ratio of the speed of a truck and a train, when the truck covers $550\ m$ in $1$ minute and the train covers $33\ km$ in $45$ minutes.

Given:

The truck covers $550\ m$ in $1$ minute and the train covers $33\ km$ in $45$ minutes. To do:

We have to find the ratio of the speed of the truck and the train.

Solution:

We know that,

$Speed = \frac{Distance}{Time}$

$1\ km=1000\ m$

Therefore,

Speed of the truck $=\frac{550}{1}\ m/min$

$=550\ m/min$

Speed of the train $=\frac{33\times1000}{45}\ m/min$

$=\frac{11\times1000}{15}\ m/min$

$=\frac{11\times200}{3}\ m/min$

The ratio of the speed of the truck and the train $=550:\frac{11\times200}{3}$

$=550\times3:\frac{11\times200}{3}\times3$

$=1650:2200$

$=550\times3:550\times4$

$=3:4$

The ratio of the speed of the truck and the train is $3:4$.

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Updated on: 10-Oct-2022

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