Question

Mandy is skating at 5 miles per hour. Nikki is skating at 6 miles per hour and started 1 mile behind Mandy. If their rates stay the same, will Mandy catch up with Nikki? Explain.

Answer 1

make an equation to please

Answer 2

if nikki maintains a faster rate, given enough time, what do you suppose will happen ?

Answer 3

she would run faster

Answer 4

rate = distance/time

equivalently

distance = rate * time

Mandy's distance = 5t
Nikki's distance = 6(t - 1)

solve for t and that is when the two people will occupy the same distance (i.e., catch up)

Answer 5

can you help me im confused @binarymimic

Answer 6

Let Mandy's rate of speed = 5 miles/hour
The distance Mandy travels is speed * time = 5 * t = 5t

Nikki's rate of speed = 6 miles/hour
The distance Nikki travels is speed * time = 6*t = 6t

But Nikki started 1 mile behind

How long does it take Nikki to travel 1 mile?
6t = 1, t = 1/6 hour

So if Nikki starts 1 mile before Mandy, that is the same as saying Nikki starts 1/6 hours before Mandy or

Nikki's distance = 6(t - 1/6) = 6t - 1 miles

Set up equations

5t = 6t - 1

And this will tell you at what time the two cross paths