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Ramesh travels equal distance of 12 km by Bus, Car and Bike. The ratio of speed by Bus, Car and Bike is 4 : 2 : 1 respectively. If the total journey takes 7 hours, then what is the time taken by Car?
- a)3 hours
- b)2 hours
- c)1 hours
- d)4 hours
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Ramesh travels equal distance of 12 kmby Bus, Car and Bike. The ratio ...
To solve this problem, we need to find the time taken by the car to travel the given distance of 12 km.
Let's assume the speed of the bus, car, and bike as 4x, 2x, and x respectively, where x is a constant.
We know that speed = distance/time.
Since the distance traveled by all three modes of transport is the same, we can write the equation as:
Speed of Bus * Time taken by Bus = Speed of Car * Time taken by Car = Speed of Bike * Time taken by Bike
Let's assume the time taken by the car is t hours.
According to the given ratio, the speed of the bus, car, and bike is in the ratio 4:2:1.
So, the speed of the bus is 4x, the speed of the car is 2x, and the speed of the bike is x.
Using the equation mentioned above, we can write:
4x * (7 - t) = 2x * t
Simplifying the equation, we get:
28x - 4xt = 2xt
28x = 6xt
Dividing both sides by 6x, we get:
28/6 = t
Simplifying further, we get:
14/3 = t
Therefore, the time taken by the car is 14/3 hours or approximately 4.67 hours.
Since the options provided are in whole numbers, we round the time to the nearest whole number.
Hence, the time taken by the car is 5 hours.
Therefore, the correct answer is option D, 5 hours.
Let's assume the speed of the bus, car, and bike as 4x, 2x, and x respectively, where x is a constant.
We know that speed = distance/time.
Since the distance traveled by all three modes of transport is the same, we can write the equation as:
Speed of Bus * Time taken by Bus = Speed of Car * Time taken by Car = Speed of Bike * Time taken by Bike
Let's assume the time taken by the car is t hours.
According to the given ratio, the speed of the bus, car, and bike is in the ratio 4:2:1.
So, the speed of the bus is 4x, the speed of the car is 2x, and the speed of the bike is x.
Using the equation mentioned above, we can write:
4x * (7 - t) = 2x * t
Simplifying the equation, we get:
28x - 4xt = 2xt
28x = 6xt
Dividing both sides by 6x, we get:
28/6 = t
Simplifying further, we get:
14/3 = t
Therefore, the time taken by the car is 14/3 hours or approximately 4.67 hours.
Since the options provided are in whole numbers, we round the time to the nearest whole number.
Hence, the time taken by the car is 5 hours.
Therefore, the correct answer is option D, 5 hours.
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Community Answer
Ramesh travels equal distance of 12 kmby Bus, Car and Bike. The ratio ...
Given:
Distance travelled by Bus = Distance travelled by Car = Distance travelled by Bike = 12 km
Ratio of speed by Bus, Car and Bike is 4 : 2 : 1
Total duration of journey = 7 hours
Formula used:
Let the speed by Bus, Car and Bike be 4y, 2y, y respectively.
Total time = Time taken by Bus + Time taken by Car + Time taken by Bike
Time taken by car = 12/2y
= 6/y
= 6/3
= 2 hours
∴ The time taken by Car is 2 hours.
Ratio of speed by Bus, Car and Bike is 4 : 2 : 1
Total duration of journey = 7 hours
Formula used:
Let the speed by Bus, Car and Bike be 4y, 2y, y respectively.
Total time = Time taken by Bus + Time taken by Car + Time taken by Bike
Time taken by car = 12/2y
= 6/y
= 6/3
= 2 hours
∴ The time taken by Car is 2 hours.
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Ramesh travels equal distance of 12 kmby Bus, Car and Bike. The ratio of speed by Bus, Car and Bike is 4 : 2 : 1respectively. If the total journey takes 7hours, then what is the time taken by Car?a)3hoursb)2hoursc)1hoursd)4hoursCorrect answer is option 'B'. Can you explain this answer?
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