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The speed of object A is 1,500 mph faster than that of object B. If
object B travels 3,500 miles in the same amount of time that object A
travels 85,000 miles, then find the speed of object A.

Respuesta :

Polyblock

Answer:

1564.42 mph

Step-by-step explanation:

Let a = Object A's speed

     b = Object B's speed

a = b + 1500

a/85000 = b/3500

Let's make subtract 1500 from both sides of the first equation

a = b + 1500

- 1500  - 1500

b = a - 1500

Cross multiply the second equation

3500a = 85000b

Plug in the new b into this new equation

3500a = 85000(a - 1500)

3500a = 85000a - 127500000

Subtract 3500a and 127500000 from both sides

3500a = 85000a - 127500000

- 3500a  - 3500a

0 = 81500a - 127500000

+ 127500000    + 127500000

127500000 = 81500a

Divide both sides by 81500

127500000/81500 = 81500a/81500

a = 1564.4171779141104

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