Two cities A and B are 360 km apart. A car goes from A to B with a speed of 40 km/hr and returns to A with a speed of 60 km/hr. The average speed of the car is:
Two cities A and B are 360 km apart. A car goes from A to B with a speed of 40 km/hr and returns to A with a speed of 60 km/hr. The average speed of the car is:
Show Hint
- 45 km/hr
- 48 km/hr
- 50 km/hr
- 55 km/hr
The Correct Option is B
Solution and Explanation
Let's break down the solution step by step:
- Determine the Total Distance: The car travels from A to B and back to A, which makes the total distance:Distance = 360 km (A to B) + 360 km (B to A) = 720 km
- Calculate the Time for Each Leg of the Journey:For the journey from A to B, Speed = 40 km/hr.
Time taken (A to B) = Distance / Speed = 360 km / 40 km/hr = 9 hours.For the journey from B to A, Speed = 60 km/hr.
Time taken (B to A) = Distance / Speed = 360 km / 60 km/hr = 6 hours. - Determine the Total Time:Total Time = Time (A to B) + Time (B to A) = 9 hours + 6 hours = 15 hours.
- Calculate the Average Speed:Average Speed = Total Distance / Total Time = 720 km / 15 hours = 48 km/hr.
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