Question

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. How fast each of them ran if one of them ran faster by 3 meters per second?

Answer 1

Speed of one dog is 2.5 m/s and other dog is 5.5 m/s.

Explanation:

Total distance between the two dogs = 360 m

Let the speed of one dog be x m/s, then the speed of second dog will be x+3 m/s.

Then total speed of two dogs = x+x+3 = 2x+3

Times = 20 seconds

After 20 seconds, distance left between them = 200 m

Distance traveled by the two dogs in 20 seconds = 360 m - 200 m

= 160 m

We know, Speed =
`(Distance traveled)/(Time taken)`

2x+3 =
`(160)/(20)`

2x = 8-3 = 5

x = 2.5 m/s

Speed of first dog = 2.5 m/s

Speed of second dog = x+3 = 2.5 +3

= 5.5m/s

Speed of one dog is 2.5 m/s and other dog is 5.5 m/s.