Question : The driver of a car, which is travelling at a speed of 75 km/hr, locates a bus 80 m ahead of him, travelling in the same direction. After 15 seconds, he finds that the bus is 40 m behind the car. What is the speed of the bus (in km/hr)?
Option 1: 44.2
Option 2: 42.5
Option 3: 47.5
Option 4: 46.2
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Correct Answer: 46.2
Solution :
Let the speed of the bus be $x$ km/hr.
Speed of car = 75 km/hr
Their relative speed = $(75 - x)$ km/hr
Total distance covered in 15 sec = (80 + 40) = 120 m
According to the question,
$ (75-x)\times\frac{5}{18} = \frac{120}{15}$
$\Rightarrow (75-x)\times \frac{5}{18} = 8$
$\Rightarrow 375-5x=144$
$\Rightarrow 5x= 231$
$\therefore x =46.2$ km/hr
Hence, the correct answer is 46.2 km/hr.
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