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Select the correct answerA car travels 80 km. in 2 hours and a train travels 180 km. in 3 hours. The ratio of the speed of the car to that of the train is?Options3 : 22 : 33 : 44 : 3

Question

Select the correct answerA car travels 80 km. in 2 hours and a train travels 180 km. in 3 hours. The ratio of the speed of the car to that of the train is?Options3 : 22 : 33 : 44 : 3

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Solution 1

To solve this problem, we first need to find the speed of both the car and the train.

Speed is calculated by dividing the distance travelled by the time taken.

  1. For the car: Distance = 80 km Time = 2 hours Speed = Distance/Time = 80 km / 2 hours = 40 km/hour

  2. For the train: Distance = 180 km Time = 3 hours Speed = Distance/Time = 180 km / 3 hours = 60 km/hour

Now, we need to find the ratio of the speed of the car to that of the train.

Ratio = Speed of Car / Speed of Train = 40 km/hour / 60 km/hour = 2/3

So, the ratio of the speed of the car to that of the train is 2:3.

Therefore, the correct answer is 2 : 3.

This problem has been solved

Solution 2

To solve this problem, we first need to find the speed of both the car and the train.

Speed is calculated by dividing the distance travelled by the time taken.

  1. For the car: Distance = 80 km Time = 2 hours So, Speed of the car = 80 km / 2 hours = 40 km/hour

  2. For the train: Distance = 180 km Time = 3 hours So, Speed of the train = 180 km / 3 hours = 60 km/hour

Now, we need to find the ratio of the speed of the car to that of the train.

Ratio = Speed of Car : Speed of Train = 40 : 60

This ratio can be simplified by dividing both numbers by the greatest common divisor, which is 20.

So, the simplified ratio = 40/20 : 60/20 = 2 : 3

Therefore, the correct answer is 2 : 3.

This problem has been solved

Solution 3

To solve this problem, we first need to find the speed of both the car and the train.

Speed is calculated by dividing the distance travelled by the time taken.

  1. For the car: Distance = 80 km Time = 2 hours So, Speed of car = 80/2 = 40 km/hour

  2. For the train: Distance = 180 km Time = 3 hours So, Speed of train = 180/3 = 60 km/hour

Now, we need to find the ratio of the speed of the car to that of the train.

Ratio = Speed of car : Speed of train = 40 : 60

This ratio can be simplified by dividing both numbers by their greatest common divisor, which is 20.

So, the simplified ratio = 40/20 : 60/20 = 2 : 3

Therefore, the correct answer is 2 : 3.

This problem has been solved

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