In a race, an athlete covers a distance of 402 m in 134 sec in the first lap. He covers the second lap of the same length in 67 sec. What is the average speed (in m/sec) of the athlete?
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The problem requires calculating the average speed of an athlete over two laps around a track, each 402 meters long. To find the average speed, we first calculate the total distance covered and the total time taken.
Step 1: Calculate Total Distance
The athlete covers 402 meters in each lap. For two laps, the total distance is:
\[ \text{Total Distance} = 402 \, \text{m} + 402 \, \text{m} = 804 \, \text{m} \]
Step 2: Calculate Total Time
The first lap takes 134 seconds, and the second lap takes 67 seconds. Therefore, the total time is:
\[ \text{Total Time} = 134 \, \text{sec} + 67 \, \text{sec} = 201 \, \text{sec} \]
Step 3: Calculate Average Speed
The average speed is the total distance divided by the total time. Use the formula:
\[ \text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}} = \frac{804 \, \text{m}}{201 \, \text{sec}} \]
Calculating this gives:
\[ \text{Average Speed} = 4 \, \text{m/sec} \]
The average speed of the athlete is therefore 4 meters per second.
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.
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?
A car covers a distance of 100 km at a speed of 60 km/h and another 200 km at a speed of 75 km/h, what is the average speed of the car in km/h for the whole journey? (correct to one decimal place)
