Damien and Marco are planning on meeting on a Wednesday afternoon to talk about the math homework. Damien walks at a constant speed of 2 miles every 30 minutes, Marco can walk at a constant speed of 3 miles every 45 minutes. If they live 8 miles away from each other, how long will it take until they meet?

1.21 hour

Step-by-step explanation:

Damien and Marco are planning on meeting on a Wednesday afternoon to talk about the math homework. how long will it take until they meet?

The formula for speed = distance/time

Distance (d) =Speed(s) × Time(t)

d = st

Damien walks at a constant speed of 2 miles every 30 minutes

60 minutes = 1 hour

30 minutes = 30/60

= 0.5 hours

Damien's speed = 2 miles/ 0.5 hours

= 4 miles per hour

Marco can walk at a constant speed of 3 miles every 45 minutes.

60 minutes = 1 hour

45 minutes = 45/60

= 0.75 hours

Marco's speed = 2 miles/ 0.75 hours

= 2.6666666667miles per hour

If they live 8 miles away from each other,

Distance = Speed × time

= 4t + 2.67t = 8

= 6.67t = 8

t = 8/6.67

t = 1.2048192771 hour

Approximately = 1.21 hour

explanation:

step-by-step explanation:

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: