Question

It took Gustavo 3 hours to drive to a football game. On the way home, he was able to increase his average speed by 20 mph and makethe return drive in only 2 hours. Find his average speed on the return drive.Step 1 of 3: Complete the following table by entering the missing values, using x to represent the unknown quantity,

Answer 1

Average speed on his return drive = 60 mph

Average Speed on his Original drive = 40 mph

Distance on his original drive = 120m

Distance on his return drive = 120m

Step-by-step explanation

We need to first complete the table.

Rate X Time = Distance

Rate Time Distance

Original drive x 3 d

Return drive x+20 2 d

But we know that: Rate X Time = Distance

x X 3 = d

⇒ 3x = d ---------------------------------------(1)

Similarly, (x+20) X 2 = d

⇒ 2(x+20) = d ---------------------------------------(2)

Substitute equation (1) in (2)

3x = 2(x + 20)

Open the parenthesis

3x = 2x + 40

Collect ;like term.

3x - 2x = 40

x = 40

Hence, the average speed on his return drive = x + 20 = 40 + 20 = 60 mph

Average Speed on his Original drive = x = 40 mph

Distance

The distance are all equal, both on his original drive and on the reurn drive.

So, let's solve for d

3x = d

Substitute x = 40 into the above.

3(40) = d

d = 120m

Hence, distance on his original drive = 120m

Distance on his return drive = 120m