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?
4
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 car covers the first 41 km of its journey in 45 min and covers the remaining 23 km in 35 min. What is the average speed (in m/sec) of the car?
Akhil drives a car from his home to office at an average speed of 50 km/h and reaches office 10 minutes early. But one day due to some problem with the car, he could drive at an average speed of 30 km/h only and reached office 10 minutes late. How far is his office from home ?
During a flight of 900 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 300 km/h and the time of flight increased by 30 min. The original duration of the flight was :
If a man travels from A to B at a speed of 50 km/h and returns by increasing his speed by 40%, then find his average speed (to 2 decimal places) for both the trips.
A man travels a distance of 420 km by train which moves at the speed of 75 km/h and returns back by car at the speed of 50 km/h. Find his average speed for the whole journey.
