The rate of faster train is 144 kilometer per hour and rate of slower train is 122 kilometers per hour.
Step-by-step explanation:
Given,
Total distance = 798 kilometers
Let,
speed of faster train = x
speed of slower train = x-2
Time = 3 hours
Distance = Speed*Time
Distance covered by faster train = 3x
Distance covered by slower train = 3(x-22) = 3x-66
As they both traveled combined distance, therefore,
Dividing both sides by 6
The speed of faster train is 144 km/h
Speed of slower train = x-22 = 144-22 = 122 km/h
The rate of faster train is 144 kilometer per hour and rate of slower train is 122 kilometers per hour.
Keywords: distance, speed
Learn more about distance at:
#LearnwithBrainly
Answer:
a) we know that this is convergent.
b) we know that this might not converge.
Step-by-step explanation:
Given the is convergent
Therefore,
(a) The power series
has radius of convergence at least as big as 8. So we definitely know it converges for all x satisfying -8<x≤8. In particular for x = -3
∴ is convergent.
(b) -8 could be right on the edge of the interval of convergence, and so might not converge