Find their rate

Question

Along the beach, a man and a woman walks towards each other. If they are 1 km apart and the man walks twice as fast as the woman, they will meet in 10 minutes. 

Answer 1

Let x = woman's speed (in km/min)

 

Then, 2x = man's speed (in km/min)

 

Distance = (rate)(time)

 

When they meet, distance of the man + distance of the woman = 1 km

 

So, (2x)(10) + (x)(10) = 1

 

                     30x = 1

 

                        x = 1/30 km/min = 2 km/hr

 

                      

 

 

 

 

Answer 2

Recall distance = rate x time

 

I believe your question is incomplete but will proceed to answer the question, "How far did the man walk? How far did the woman walk?"

 

d₁ = man's distance

d₂ = woman's distance

d₁ + d₂ = 1 km

r₁ = man's rate

r₂ = woman's rate

r₁ = 2r₂

t₁ = man's time

t₂ = woman's time

t₁ = t₂ = t = 10 min = .166667 hr

 

Since d₁ + d₂ = 1

r₁t + r₂t = 1

.167r₁ + .167r₂ = 1

.167(2r₂) + .167r₂ = 1

2(.167)r₂ + .167r₂ = .1

3(.167)r₂ = .1

r₂ = 0.2 km/hr

r₁ = 0.4 km/hr