One plane can travel 20 miles per hour faster than another. One of them goes 285 miles in same time it takes the other to go 255 miles. What are their speeds?
@MrNood

Question

One plane can travel 20 miles per hour faster than another. One of them goes 285 miles in same time it takes the other to go 255 miles. What are their speeds?
@MrNood

mrnood · Answer

distance = speed*time

285 = S1*t
255 = S2 *t

s1=s2+20

anonymous · Answer

How would I set it up so I could solve it?

anonymous · Answer

@paki , help please?

paki · Answer

the planes are traveling for 1.2 hours because one has travelled 20 miles faster than the other one... so now...
285mil/1.2hrs= 238mph
255mil/1.2hrs= 212mph

anonymous · Answer

285 = t(s+20)
255 = ts

anonymous · Answer

How would I set up the question so I could start working out the answer?

anonymous · Answer

285 = ts+20t
ts = 285 - 20t
255 = 285 - 20t
20t = 285 - 255
20t = 30
t = 1.5

Subbing that in into t for the second equation, 255/1.5 = 170, and the other 190.

anonymous · Answer

Thank you!

mrnood · Answer

@paki - you can see that your answer is not correct - the question tells you the speeds differ by 20 mph - but in your answer it is 26mph.

I think your assertion about the time (1.2. hours)