Question Elvira and Aletheia live 3.2 miles apart on the same street. They are in a study group that meets at a coffee shop between their houses. It took Elvira 1/2 hour and Aletheia 2/3 hour to walk to the coffee shop. Find both women's walking speeds.

Missing from the question

Aletheia's speed is 0.6 miles per hour slower than Elvira's speed.

Step-by-step explanation:

Given

-- distance

--- Elvira time

--- Aletheia time

--- the relationship between their speeds

Required

Their walking speed

Distance (d) is calculated as:

For Elvira, we have:

For Aletheia, we have:

So, we have:

--- total distance

This gives:

Recall that:

Make sE the subject

Substitute in

Collect like terms

Express all as decimal

Divide both sides by 1.2

Recall that:

So, we have: