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nata0808 [166]
2 years ago
7

Two planes, which are 3400 miles apart, fly toward each other. Their speeds differ by 80mph. If they pass each other in 5 hours,

what is the speed of each?
Mathematics
1 answer:
Andreas93 [3]2 years ago
4 0

Answer : The speed of both planes is 61.25 mph and 18.75 mph  respectively.

Explanation:

Let the speed of first plane be x mph

Let the speed of second plane be y mph

Since we have given that difference of speeds is 80 mph

i.e.  x - y= 80   (Eq^n   1)

Distance between two planes = 3400 miles

As they are flying towards each other i.e. they are in the opposite direction.

So, Relative speed  will  be the sum of their speeds i.e.

Relative speed = x + y

And we know speed = \frac{Distance}{Time}

Speed= \frac{3400}{80}

⇒ Speed = 42.5 mph

Hence, Relative speed becomes 42.5 mph

⇒ x+y=42.5  (Eq^n   2)

Now, by using the elimination method of solving the system of equation, we  have ,

x= 61.25 mph

and y = 18.75 mph



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