Vivian L. answered • 10/28/13

Microsoft Word/Excel/Outlook, essay composition, math; I LOVE TO TEACH

Hi Again Amie;

I enjoy these questions...

Keep these coming...

Cyclist A...10 m/h, time x

Cyclist B...16 m/h, time (x-12 minutes)

The first thing we must notice is that 12 is in minutes, whereas everything else is in hours.

Cyclist B...16 m/h(x-0.2 hours)

(10 m/h)(x)=(16 m/h)(x-0.2)

Let's cancel units. m/h is in the denominator on both sides...

(10 m/h)(x)=(16 m/h)(x-0.2)

10x=16(x-0.2)

10x=16x-3.2

Let's subtract 16x from both sides...

-16x+10x=16x-3.2-16x

-6x=-3.2

Let's divide both sides by -6...

(-6x)/(-6)=(-3.2)/(-6)

x=0.53 hours

x=(0.53 hours)(60 minutes)/(1 hour)]

x=32 minutes

32 minutes-12 minutes=20 minutes required for the 2nd cyclist to catch-up with the 1st.

Vivian L.

10/28/13