To find the average speed for the complete trip and the total distance covered, we need to calculate the individual distances traveled during each segment and then find the total distance.
Segment 1: Rate = 25 km/hr Time = 4 min = 4/60 hr (converting minutes to hours)
Distance 1 = Rate x Time = 25 km/hr x (4/60) hr = 25/15 km
Segment 2: Rate = 50 km/hr Time = 8 min = 8/60 hr (converting minutes to hours)
Distance 2 = Rate x Time = 50 km/hr x (8/60) hr = 50/7 km
Segment 3: Rate = 20 km/hr Time = 2 min = 2/60 hr (converting minutes to hours)
Distance 3 = Rate x Time = 20 km/hr x (2/60) hr = 1/3 km
Total Distance = Distance 1 + Distance 2 + Distance 3 = 25/15 km + 50/7 km + 1/3 km
To find the average speed, we need to calculate the total time taken for the entire trip.
Total Time = Time 1 + Time 2 + Time 3 = 4/60 hr + 8/60 hr + 2/60 hr = 14/60 hr
Average Speed = Total Distance / Total Time
Plugging in the values:
Average Speed = (25/15 km + 50/7 km + 1/3 km) / (14/60 hr)
Calculating the values:
Average Speed = (1250/105 + 750/105 + 20/105) / (14/60)
Average Speed = (2020/105) / (14/60)
Average Speed ≈ 13.59 km/hr (rounded to two decimal places)
Therefore, the average speed for the complete trip is approximately 13.59 km/hr.
To find the total distance covered, we can calculate the sum of the individual distances:
Total Distance = 25/15 km + 50/7 km + 1/3 km
Calculating the values:
Total Distance = 1.67 km + 7.14 km + 0.33 km
Total Distance ≈ 9.14 km (rounded to two decimal places)
Therefore, the total distance covered during the trip is approximately 9.14 km.