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Two planes, which are 3950 miles apart. fly toward each other. Their speeds differ by 40 mph. If they pass each other in 5 hours, what is the speedof each?Answer How to enter your answer (opens in new window) 3 PointsKeypad

Two Planes Which Are 3950 Miles Apart Fly Toward Each Other Their Speeds Differ By 40 Mph If They Pass Each Other In 5 Hours What Is The Speedof EachAnswer How class=

Sagot :

Given the word problem, we can deduce the following information:

1. The two planes are 3950 miles apart.

2. Their speeds differ by 40 mph.

3. Time =5 hours

To determine the speed of each plane, we first let:

x= speed of the fist plane

x+40 =speed of the second plane

Based on the above information, the combined speed is 2x+40. Our equation would be:

[tex]2x+40=\frac{3950}{5}[/tex]

Next, we find the value of x:

[tex]\begin{gathered} 2x+40=\frac{3950}{5} \\ \text{Simplify and rearrange} \\ 2x+40=790 \\ 2x=790-40 \\ 2x=750 \\ x=\frac{750}{2} \\ \text{Calculate} \\ x=375 \end{gathered}[/tex]

Hence,

x= speed of the fist plane=375 mph

x+40 =speed of the second plane=375+40= 415 mph

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