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

Question

Naily [24]

3 years ago

5

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?

Mathematics

1 answer:

faltersainse [42] · Answer 1 · 2022-07-09T15:25:46+03:00

faltersainse [42]3 years ago

5 0

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

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