Question

14. TRAVEL Courtney travels south on her bicycle riding 8 miles

per hour. One hour later, her friend Horacio starts riding his
bicycle from the same location. If he travels south at 10 miles
per hour, how long will it take him to catch Courtney?

Answer 1

4 hours

Explanation:

Lets use C as Courtney and H as Horacio.

Since H started his way out 1 hour after C departed, we can say that: by this moment C already has traveled 1 hour and has 8 miles ahead.

When H catch with C is traveled distance must be the same

Distance traveled by C since H Started to move: X (rendezvous point)=Sc*Tc

Distance traveled by H: 8 miles + X (rendezvous point)=Sc*Th

From this moment Tc=Th so they can catch up.

Eq. 1

x=8*Th (8 is the speed of C)

8+x=10*th (10 Is the speed of H)

Two equations.

If Subtract the thow equations we will have this>

We have 8=2th

th=4 hours.

Remember that Speed (S)= Distance/Time= X/T, hence X=S*Time