Answered

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Two planes, which are 2480 miles apart, fly toward each other. Their speeds differ by 70mph. If they pass each other in 4 hours, what is the speed of each?

Sagot :

caylus

Answer: 345;275

Step-by-step explanation:

Lest say v_1 the speed of the slowest plane

v_2 the speed of the fasterst plane

[tex]\Bigg\{\begin{array}{ccc}v_2-v_1&=&70\\4*v_2+4*v_1&=&2480\\\end{array} \right.\\\\\\\Bigg\{\begin{array}{ccc}v_2-v_1&=&70\\v_2+v_1&=&620\\\end{array} \right.\\\\\\\Bigg\{\begin{array}{ccc}2*v_2&=&690\\v_2+v_1&=&620\\\end{array} \right.\\\\\\\Bigg\{\begin{array}{ccc}v_2&=&345\\v_1&=&275\\\end{array} \right.\\\\\\[/tex]

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