Question

While traveling to and from a certain destination, you realized increasing your speed by 40 mph saved 4 hours on your return. The total distance of the round trip was 640 miles. Construct an equation that relates the speeds of the two legs of the trip. Use x to represent the speed on the second leg of the trip.

Answer 1

Answer:

An equation that relates the speeds of the two legs of the trip

  $\frac{640}{x-40}+\frac{640}{x}=4$

Explanation:

Given, we have to use x to represent the speed on the second leg

Speed on first leg when increasing your speed by 40 mph will be (x-40)

Distance is given as 640 miles and time is calculated as  

$\text { Time }=\frac{\text { Distance travelled }}{\text { speed }}$

According to the question, increasing speed saved four hours

Therefore, the equation that relates the speeds of the two legs of the trip will be

$\frac{640}{x-40}+\frac{640}{x}=4$