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Question

A car travels from city A to city B at 30 km/hr and returns at 45 km/hr. Find the average speed for the entire trip.

The correct answer is

36 km/hr

For equal distances covered at speeds a and b, average speed = \(\frac{2ab}{a + b}\).

Average speed = \(\frac{2 \times 30 \times 45}{30 + 45}\) = \(\frac{2700}{75}\) = 36 km/hr.

Hence, the answer is 36 km/hr.

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Similar Questions

  1. A girl goes to school at a speed of 45 km/h. She comes back with a speed of 36 km/h. Find her average speed for the whole journey.

  2. In a race, an athlete covers a distance of 300 m in 100 sec in the first lap. He covers the second lap of the same length in 50 sec. What is the average speed (in m/sec) of the athlete?

  3. A man walks 430 m in 10 minutes, 470 m in 11 minutes and 620 m in 17 minutes. Then, his average speed (in m/minutes) for the whole journey is:

  4. In a race, an athlete covers a distance of 420 m in 140 sec in the first lap. He covers the second lap of the same distance in 70 sec. What is the average speed (in m/sec) of the athlete?

  5. Arjun travelled from place A to place B by car at a speed of 48 km/hr and returned back to place A at a speed of 60 km/hr. He then again went to place B at a speed of 72 km/hr. Find the average speed of the car for the whole journey (rounded off to two decimal places).

  6. A student rides a bicycle for 12 km at an average speed of 10 km/hr. At what speed should he cover the next 10 km to have an average speed of 11 km/hr for the whole journey?

  7. A car covers the first 120 km at 40 km/hr, the next 180 km at 60 km/hr, and the last 100 km at 50 km/hr. Find the average speed of the car for the entire journey.


Important Questions from Average Speed

  1. A person covers a certain distance at the speed of 60 kmph and returns to the starting point at a speed of 40 kmph . Find the average speed (in km/hour) of the person for the whole journey.

  2. A train runs at a speed of 28 kmph for 4 hours and 30 kmph for 5 hours and the remaining 40 kms in one hour. What is the average speed per hour?

  3. Kapil travels for 4.5 hours at a speed of 50 km / h and 7.5 hours at a speed of 70 km / h. At the end of it, he finds that he covered only 6/7 of the total distance. At what average speed should he travel so that the remaining distance traveled in 5 hours?

  4. A car has to cover 125 kms in 5 hours. What will be the average speed of the car if it has covered 90 kms in the first 3 hours?

  5. A scooter from P to Q travels at 40 km/h and from Q to P at 30 km/h. What is the average speed of the scooter?

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