Answer:
Speed of one dog = 2.5m/s and speed of other dog = 5.5 m/s
Step-by-step explanation:
Formula: speed = distance/time
It is given that,
Being 360 meters apart, two dogs started running towards each other at the same time. In 20 seconds the distance between them was 200 meters. And one of them ran faster by 3 meters per second
<u>To find speed</u>
Let x be the speed of one dog and speed of 2nd dog = x + 3
After 20 seconds they travel = 360 - 200 = 160 meters.
let d be the distance traveled by 1st dog
distance traveled by 2nd dog = 160 - d
In the case of first dog we can write
speed = distance/time
x = d/20
20x = d -----(1)
In the case of 2nd dog,
(x + 3) = (160 - d)/20
20x + 60 = 160 - d ----(2)
Substitute value of 20x = d
(2) ⇒ d + 60 = 160 -d
2d = 160 - 60 = 100
d = 50
Distance covered by 1st dog = 50.
x =50/20 = 2.5 m/s
Speed of 1st dog = 2.5m/s
speed of 2nd dog 2.5 + 3 = 5.5 m/s
