Answer :
Answer:
Speed of Faster jet is 756 miles/hr and speed of slower jet is 685 miles/hr.
Step-by-step explanation:
Let the speed of faster jet be represent as 's'
Now Given:
one jet travels 71 mih slower than the other.
Hence Speed of slower jet will be = [tex]s-71[/tex]
Distance = 5764 miles
Time = 4 hrs
Now we know that;
Distance is equal to product of speed and time.
Framing in equation for we get;
Distance = (Speed of Faster Jet + Speed of Slower jet) × Time.
Substituting the given values we get;
[tex]5764=(s+s-71)\times 4\\\\5764= (2s-71)\times 4\\\\\frac{5764}{4} = 2s-71\\\\1441=2s-71\\\\2s=1441+71\\\\2s =1512\\\\s =\frac{1512}{2} = 756\ mi/h[/tex]
Speed of faster jet = 756 miles/hr
Speed of slower jet = [tex]s-71 =756-71 = 685\ mi/hr[/tex]
Hence Speed of Faster jet is 756 miles/hr and speed of slower jet is 685 miles/hr.
Now we will check the answer;
Distance traveled by faster jet = speed × time = 756 × 4 = 3024 miles.
Distance traveled by Slower jet = speed × time = 685 × 4 = 2740 miles
Hence Total Distance = 3024 + 2740 = 5764 miles.