a truck driver traveled at an average speed of 48 miles per hour on a 100-mile trip to pick up a load of freight. On the return trip with the truck fully loaded,the average speed was 40 miles per hour. Find the average speed for the round trip.
time for first trip = 100/48 hours = 25/12 hrs
time for return trip = 100/40 = 5/2 hours
total time = 5/2 + 25/12 hours = 55/12 hrs
avg speed = total distance / total time
= 200/(55/12) = 43.64 mph
To find the average speed for the round trip, you need to calculate the total distance traveled and divide it by the total time taken.
Step 1: Calculate the time taken for the outward journey.
Distance = 100 miles
Speed = 48 miles per hour
Time = Distance / Speed = 100 / 48 = 2.0833 hours (approximately)
Step 2: Calculate the time taken for the return journey.
Distance remains the same at 100 miles.
Speed = 40 miles per hour
Time = Distance / Speed = 100 / 40 = 2.5 hours
Step 3: Calculate the total time taken for the round trip.
Total Time = Time for Outward Journey + Time for Return Journey = 2.0833 + 2.5 = 4.5833 hours (approximately)
Step 4: Calculate the average speed for the round trip.
Total Distance = 100 miles + 100 miles = 200 miles
Average Speed = Total Distance / Total Time = 200 / 4.5833 ≈ 43.67 miles per hour
Therefore, the average speed for the round trip is approximately 43.67 miles per hour.