Ramesh travels equal distance of 12 km by Bus, Car and Bike. The ratio

1.	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?1. 3 hours2. 2 hours3. 1 hour4. 4 hours5. None of these
Answer» Correct Answer - Option 2 : 2 hours 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: Speed = Distance/Time Calculations: 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 7 = (12/4y) + (12/2y) + (12/y) ⇒ 7 = (3/y) + (6/y) + (12/y) ⇒ 7 = 21/y ⇒ y = 21/7 ⇒ y = 3 Time taken by car = 12/2y ⇒ 6/y ⇒ 6/3 ⇒ 2 hours ∴ The time taken by Car is 2 hours.

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?1. 3 hours2. 2 hours3. 1 hour4. 4 hours5. None of these

Answer» Correct Answer - Option 2 : 2 hours

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:

Speed = Distance/Time

Calculations:

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

7 = (12/4y) + (12/2y) + (12/y)

⇒ 7 = (3/y) + (6/y) + (12/y)

⇒ 7 = 21/y

⇒ y = 21/7

⇒ y = 3

Time taken by car = 12/2y

⇒ 6/y

⇒ 6/3

⇒ 2 hours

∴ The time taken by Car is 2 hours.

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