Let x =distance travelled by dog and 200-x be the distance travelled by cat. Inorder to meet, the sum of their travelled distances shall be equal to 200 meters as they are far apart by 200 meters.

Dog: Distance =Speed x time: x=30t

Cat: Distance = 200-x

=24t

The sum of their distance travelled shall be 200 meters: 30t+ 24t= 200;54t=200;t=200/54=3.7secs

So they will meet after 3.7 seconds

To check:

Distance travelled by dog :x=30(3.7)

=111.11 meters

Distance travelled by cat: 24t=24(3.7)

=88.89 meters

Therefore since they are travelling towards each other and their distance apart is 200 meters, after 3.7 seconds they will meet because dog travelled 111.11 meters and cat travelled 88.89 meters and they covered already 200 meters as the sum of 111.11+ 88.89

=200 meters

6 0

2 years ago

Jack is renting a boat to go fishing with his friends. One rental company charges a fee of $20 plus $13.50 an hour. A second ren

zvonat [6]

Answer:

4 hours of rental

Step-by-step explanation:

y1 = 20 + 13.5x

y2 = 6 + 17x

20 + 13.5x = 6 + 17x

20 - 6 = 17x - 13.5x

14 = 3.5x

x = 4

Costs y1 and y2 are equal on renting for 4 hours

3 0

3 years ago

Read 2 more answers

Find the exact volume of the cylinder.

Verizon [17]

Answer:

$\boxed {\boxed {\sf C. \ 200 \pi \ ft^3}}$

Step-by-step explanation:

We are asked to find the volume of the cylinder. The formula for calculating a cylinder's volume is:

$v= \pi r^2 h$

We know the height of the cylinder is 8 feet. We are given the diameter, the distance from edge to edge through the center. We want to find the radius, the distance from the edge to the center.

The radius is half the diameter.