Radha traveled for 60 minutes. This travel of 60 minutes can be divided into 6 equal intervals of 10 minutes each. In these 6 intervals, she traveled 10 km, 12 km, 14 km, 9 km, 5 km, and 15 km. What is the average speed of Radha if only those intervals are considered when her speed was between 50 km/hr and 80 km/hr?
Question
Radha traveled for 60 minutes. This travel of 60 minutes can be divided into 6 equal intervals of 10 minutes each. In these 6 intervals, she traveled 10 km, 12 km, 14 km, 9 km, 5 km, and 15 km. What is the average speed of Radha if only those intervals are considered when her speed was between 50 km/hr and 80 km/hr?
Solution
To solve this problem, we first need to calculate the speed of Radha in each interval. Speed is calculated by dividing the distance by time. Here, the time for each interval is 10 minutes or 1/6 hour.
- In the first interval, her speed was 10 km / (1/6) hr = 60 km/hr.
- In the second interval, her speed was 12 km / (1/6) hr = 72 km/hr.
- In the third interval, her speed was 14 km / (1/6) hr = 84 km/hr.
- In the fourth interval, her speed was 9 km / (1/6) hr = 54 km/hr.
- In the fifth interval, her speed was 5 km / (1/6) hr = 30 km/hr.
- In the sixth interval, her speed was 15 km / (1/6) hr = 90 km/hr.
Now, we only consider those intervals when her speed was between 50 km/hr and 80 km/hr. These are the first, second, and fourth intervals.
The average speed is calculated by dividing the total distance by the total time. The total distance for these intervals is 10 km + 12 km + 9 km = 31 km. The total time is 10 minutes + 10 minutes + 10 minutes = 30 minutes or 0.5 hour.
So, the average speed of Radha for these intervals is 31 km / 0.5 hr = 62 km/hr.
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