A cyclist travels from point A to B and then returns from B to A along the same route. On the onward journey, he covers two-fifths of the distance at 15 km/hr and the remaining distance at 20 km/hr. On the return journey, he covers one-fourth of the distance at 16 km/hr and the remaining distance at 24 km/hr. Find the average for the entire trip. (Round off your answer to two decimal places.)
19.32 km/hr
Let the one-way distance be 300 km (a convenient common multiple).
Onward: \(\tfrac25\times300=120\) km at 15 km/h takes \(8\) h; remaining \(180\) km at 20 km/h takes \(9\) h. Onward time = 17 h.
Return: \(\tfrac14\times300=75\) km at 16 km/h takes \(4.6875\) h; remaining \(225\) km at 24 km/h takes \(9.375\) h. Return time = 14.0625 h.
Total distance: \(600\) km. Total time: \(17+14.0625 = 31.0625\) h.
Average speed: \(\dfrac{600}{31.0625} \approx 19.32\) km/hr.
Hence, the average speed for the entire trip is approximately 19.32 km/hr.
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Important Questions from Average Speed
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.
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?
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?
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?
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?
