Question : A truck covers a distance of 550 metres in one minute whereas a bus covers a distance of 33 km in $\frac{3}{4}$ hour. Then the ratio of their speeds is:
Option 1: 1 : 3
Option 2: 2 : 3
Option 3: 3 : 4
Option 4: 1 : 4
Correct Answer: 3 : 4
Solution :
Given:
The truck covers a distance of 550 metres in one minute.
The bus covers a distance of 33 km in $\frac{3}{4}$ hour.
Speed of the truck in metres per second = $\frac{550}{1×60}$ = $\frac{55}{6}$
Speed of the bus in metres per second = $\frac{33×1000}{\frac{3}{4}×60×60}$ = $\frac{33×1000}{45×60}$ = $\frac{110}{9}$
Required ratio = $\frac{\text{Speed of truck}}{\text{Speed of bus}}$
= $\frac{\frac{55}{6}}{\frac{110}{9}}$
= $\frac{55}{6}×\frac{9}{110}$
= $\frac{3}{4}$
= $3 : 4$
Hence, the correct answer is 3 : 4.
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