Question : On a straight road, a bus is 30 km ahead of a car travelling in the same direction. After 3 hours, the car is 60 km ahead of the bus. If the speed of the bus is 42 km/h, then find the speed of the car.
Option 1: 67 km/h
Option 2: 72 km/h
Option 3: 65 km/h
Option 4: 59 km/h
Correct Answer: 72 km/h
Solution :
Let the speed of the car be $x$ km/h.
According to the question,
Relative speed $= (x - 42)$ km/h
Distance $= 30 + 60 = 90$ km
Now the speed of the car will be
$⇒ x - 42 = \frac{90}{3}$
$⇒ x - 42 = 30$
$⇒ x = 30 + 42 = 72$ km/h
Hence, the correct answer is 72 km/h.
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