Question

A puppy and a kitten are 180 meters apart when they see each other. The puppy can run at a speed of 25 m/sec, while the kitten can run at a speed of 20 m/sec.
How soon will they meet if they simultaneously start running towards each other?

Answer 1

Answer: 36 sec

Step-by-step explanation:

Let

x------> distance the kitten runs before being caught by the puppy

Remember that

The speed is equal to divide the distance by the time

v=d/t

solve for t

t=d/v

so

equate the time

x/20=(180+x)/25

25x=20(180+x)

25x=3,600+20x

25x-20x=3,600

x=3,600/5=720 m

t=d/v=720/20=36 sec

or

t=(720+180)/25=900/25=36 sec

Answer 2

Answer:

Step-by-step explanation:

we are starting with formula S=D/T; S= speed; D=distance; T=time

T= D/25 for puppy

T=(180-D)/20 for kitten

we are having 2 equations!

180 - D=20*T   and D=25*T   =>  180-25*T=20*T =>180= 45*T => T=180/45

T=4 SEC

T=D/25=>D=4*25=100 METERS

SO THEY WILL MEET AFTER 4 SECONDS IF THEY SIMULTANEOUSLY START RUNNING TOWARD EACH OTHER!