Question

Gavin took 8 hours to drive to a hockey game. On the return trip, he increased his average speed by 17 mph and completed the drive in 6 hours. What was Gavin's average speed while driving to the hockey game?

A) 50 mph
B) 51 mph
C) 52 mph
D) 53 mph

Answer 1

Gavin's average speed while driving to the hockey game was 51 mph.

Step-by-step explanation:

To find Gavin's average speed while driving to the hockey game, we can use the formula:

Average Speed = Total Distance / Total Time

Let's assume his average speed on the way to the game was x mph. The distance traveled is the same for both trips, so let's represent it as d.

On the way to the game:

Time = 8 hours

Speed = x mph

Distance = Speed * Time = x * 8 = 8x

On the return trip:

Time = 6 hours

Speed = x + 17 mph

Distance = Speed * Time = (x + 17) * 6 = 6x + 102

Since the distances are the same for both trips, we can set up the equation:

8x = 6x + 102

2x = 102

x = 51

Therefore, Gavin's average speed while driving to the hockey game was 51 mph (Option B).