Question

Juan starts walking at 4 miles per hour. An hour and a half later, Cathy starts jogging along the same route at 5 miles per hour. How long will it take Cathy to catch up with Juan?

Answer 1

Answer:

Step-by-step explanation:

Speed of Jaun=4mile/hr

Time jogged by jaun=1.5hr

Distance travelled by jaun= 6mile

Time taken by both to reach same place=x

6+4x=5x

6=x

6 hours are taken to meet same point

Answer 2

It will take 12 hours to Cathy to catch up with Juan.

Step-by-step explanation:

Speed of Juan = 4 miles per hour.

Speed of Cathy= 5 miles per hour.

Let t be the time taken by Cathy to catch up with Juan.

Also, distance = speed x time

Distance covered by Juan = $4(1\dfrac{1}{2}+t})=4(\dfrac{3}{2}+t)= 6+4t\text{ miles}$

Distance covered by Cathy = $5t\text{ miles}$

As per question , we have

$5t=6+4t\\\\\Rightarrow\ 5t-4t=6\\\\\Rightarrow\ t=6\text{ hour}$

Hence, it will take 12 hours to Cathy to catch up with Juan.

# Learn more :

Amanda and Alexis live 4 miles apart. They decide to start walking toward each other’s houses at the same time. Amanda walks at a rate of 3.5 miles per hour and Alexis walks at a rate of 4 miles per hour. How long will it take for them to meet? Round to the nearest hundredth of an hour. [Remember: D = (r)(t)]

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