Question : A bus covers a 50-kilometre distance in 1 hour 15 minutes, whereas the same distance is covered by a car in 45 minutes. What is the ratio of the speed of the bus to the speed of the car?
Option 1: 1 : 3
Option 2: 5 : 3
Option 3: 3 : 1
Option 4: 3 : 5
Correct Answer: 3 : 5
Solution :
Distance = 60 km
Time taken by bus = 1 hr 15 min = 1.25 hr
Time taken by car = 45 min = $\frac{3}{4}$ hr
Speed = $\frac{\text{Distance}}{\text{Time}}$
Speed of Bus = $\frac{60}{1.25}$ = 48 km/hr
Speed of car = $\frac{60}{\frac{3}{4}}$ = 80 km/hr
The ratio of the speed of the bus to the speed of the car = 48 : 80 = 3 : 5
Hence, the correct answer is 3 : 5.
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