A family took 2 hours to drive from City A to City B at a speed of 55 miles per hour. On the return trip , due to snowstorm, the family took 3 hours to travel back to City A. How many miles did the family travel in all? What was the average speed for the entire trip ?

Respuesta :

71.3 miles
14.25 is the average speed for the entire trip

Answer:

Total distance traveled in all = 220 miles

Average speed for the entire trip = 44 miles per hours

Step-by-step explanation:

The family traveled from point A to B in 2 hours  at a speed of 55 miles per hour.

Average speed = distance traveled/time taken

Time traveled from point A to B = 2 hours

Average speed from point A to B = 55 miles per hour

using the formula,

55 = Distance traveled from point A to B / 2

cross multiplying

Distance traveled from point A to B = 55 × 2

Distance traveled from point A to B  = 110 miles

The family returned from point B to A , due to snowstorm the family took 3 hours to travel  back to A .

The total travel is the total distance the family covers from point A to B and point B to A.

Since the distance from point A to B is known , point B to A distance is also known.

Total distance covered = distance from point A to B  + distance from point B to A

Total distance covered = 110 + 110 = 220 miles

Total distance traveled in all = 220 miles

Total time traveled = 2 + 3 = 5 hours    

Average speed for the entire trip =  220/5

Average speed for the entire trip = 44 miles per hours