Question : A person has to travel a distance of 30 km. He finds that he has covered $\frac{5}{6}$th of the distance in 3 hours and 20 minutes. what is his speed in km/hr?
Option 1: 6
Option 2: 5.4
Option 3: 6.3
Option 4: 7.5
Correct Answer: 7.5
Solution :
Given: Total distance = 30 km
3 hr 20 min $= 3 + \frac{20}{60} = 3 + \frac{1}{3} = \frac{10}{3}$
$\frac{5}{6}$th of the distance $= 30 × \frac{5}{6}= 25$ km
Speed of the person = $\frac{25}{\frac{10}{3}}= 7.5$ km/hr
Hence, the correct answer is 7.5 km/hr.
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