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If a bus covers 225 km in 3 hours and a train covers 600 km in 5 hours. What is the ratio of their speeds?
- a)5 : 8
- b)3 : 5
- c)5 : 7
- d)3 : 8
Correct answer is option 'A'. Can you explain this answer?
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If a bus covers 225 km in 3 hours and a train covers 600 km in 5 hours...
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If a bus covers 225 km in 3 hours and a train covers 600 km in 5 hours...
Given Information:
The bus covers 225 km in 3 hours and the train covers 600 km in 5 hours.
Calculating Speed:
To find the ratio of their speeds, we need to calculate the speed of the bus and the speed of the train.
Speed is calculated by dividing the distance covered by the time taken.
For the bus:
Speed of the bus = Distance covered by the bus / Time taken by the bus
Speed of the bus = 225 km / 3 hours
Speed of the bus = 75 km/h
For the train:
Speed of the train = Distance covered by the train / Time taken by the train
Speed of the train = 600 km / 5 hours
Speed of the train = 120 km/h
Calculating Ratio:
Now that we have calculated the speeds of the bus and the train, we can find the ratio of their speeds.
Ratio of speeds = Speed of the bus : Speed of the train
Ratio of speeds = 75 km/h : 120 km/h
To simplify the ratio, we can divide both speeds by a common factor. In this case, we can divide both speeds by 15.
Ratio of speeds = (75 km/h ÷ 15) : (120 km/h ÷ 15)
Ratio of speeds = 5 km/h : 8 km/h
Therefore, the ratio of the speed of the bus to the speed of the train is 5 : 8.
So, the correct answer is option A) 5 : 8.
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If a bus covers 225 km in 3 hours and a train covers 600 km in 5 hours. What is the ratio of their speeds?a)5 : 8b)3 : 5c)5 : 7d)3 : 8Correct answer is option 'A'. Can you explain this answer?
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