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
