While driving on the highway, Dave averages 60 miles per hour. In the city, he averages 30 miles per hour. On a trip to his grandmother's house, Dave drives 2 3/5 hours on the highway and 1 1/5 hours in the city.
5 years ago
5 years ago
average speed = totaldistance/totaltime
since for each leg of the trip, distance = speed * time, we have
avgspeed = ((2 3/5 * 60)+(1 1/5 * 30))/(2 3/5 + 1 1/5)
= (156+36)/(3 4/5) = ?
5 years ago
So I got 50.52631..... and I rounded that to 50.5. Is this correct?
11 months ago
To find out the total distance traveled by Dave on his trip to his grandmother's house, we can use the formula:
Distance = Speed x Time
First, let's calculate the distance traveled on the highway. Dave drove 2 3/5 (or 13/5) hours on the highway, and his average speed was 60 miles per hour. So, the distance traveled on the highway is:
Distance on the highway = 60 miles per hour x 13/5 hours
Distance on the highway = (60 x 13) / 5 miles
Distance on the highway = 780 / 5 miles
Distance on the highway = 156 miles
Next, let's calculate the distance traveled in the city. Dave drove 1 1/5 (or 6/5) hours in the city, and his average speed was 30 miles per hour. So, the distance traveled in the city is:
Distance in the city = 30 miles per hour x 6/5 hours
Distance in the city = (30 x 6) / 5 miles
Distance in the city = 180 / 5 miles
Distance in the city = 36 miles
Finally, to find the total distance traveled, we need to add the distance on the highway and the distance in the city:
Total distance traveled = Distance on the highway + Distance in the city
Total distance traveled = 156 miles + 36 miles
Total distance traveled = 192 miles
Therefore, Dave traveled a total distance of 192 miles on his trip to his grandmother's house.