Respuesta :
Answer: Speed of first bird =41 mph
Speed of second bird = 26 mph
Step-by-step explanation:
Let x be the speed of the second bird, then the speed of first bird will be x+15.
After 6 hours ,
Distance covered by first bird= (x+15)(6) [Distance = speed × time]
= 6x+90
Distance covered by second bird= (x)(6) = 6x
After 6 hours the two birds are 402 miles apart.
[tex]\Rightarrow\ 6x+90+6x=402\\\\\Rightarrrow\ 12x=402-90\\\\\Rightarrow\ 12x=312\\\\\Rightarrow\ x=\dfrac{312}{12}\\\\\Rightarrow\ x=\dfrac{312}{12}=26[/tex]
Speed of second bird = 26 mph, Speed of first bird = 26+15 = 41 mph.