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:

if you explain the the question more correctly i might be able to answer this better

step-by-step explanation:

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.