2x = loss

10,000 + x – 2x = 8,000

10,000 – x = 8,000

-x = -2,000

x = 2,000

gain $2,000 ; loss $4,000

———————————

x = speed of 2nd

x + 100 = speed of 1st

y = time for both

xy + (x + 100)y = 2000

(x + x + 100)y = 2000

(2x + 100)y = 2000

(x + 50)y = 1000

I think you are right. Something seems to be missing.

Let the gain be x $ and loss be $ y

So according to the question

10000 + gain – loss = 8000

10000 + x – 2x = 8000

10000 – x = 8000

x = 10000 – 8000 = 2000

Therefore the gain was $2000 and loss was $4000

Sol 2:

One bit of information is missing. Either speed should be specified or the time taken to cover this distance should be given

2) You are right — there isn’t enough information given.

Use the formula: distance = rate * time

distance = 2000 miles

rate of second = x

rate of first = x + 100

total rate = 2x + 100

time = t

2000 = (2x+100)*t

Two unknowns (two variables) means that we need a second equation to solve, but there isn’t any more information given.

$10,000+2,000=$12,000

2,000 X 2= 4,000

12, 000-4,000= $8,000

for the second

the formual for speed is s=d/t

ill keep working at it