Question

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 hours
2. 2 hours
3. 1 hour
4. 4 hours
5. None of these

Answer 1

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.