Sue spends 3.5 hours on travelling and 2.5 hours stationary.
What is distance-time graph?
It is a graph which shows how far an object has travelled in a given time.
What is a stationary graph?
It is graph of function which represents there is no change in the function value or the function value is constant.
What is change in value?
"subtract old value from new value."
For given example,
Given distance-time graph represents a journey made by Sue.
Let 't' represents the travelling time and 's' represents the stationary time.
If we observe the graph,
from 2 pm to 3 pm Sue travelled 5 miles
⇒ t1 = 3 - 2
⇒ t1 = 1 hour
from 3.5 pm to 4 pm she travelled 10 miles
⇒ t2 = 4 - 3.5
⇒ t2 = 0.5 hour
from 5 pm to 6.5 pm she travelled 15 miles
⇒ t3 = 6.5 - 5
⇒ t3 = 1.5 hours
from 7.5 pm to 8 pm she travelled 5 miles
⇒ t4 = 8 - 7.5
⇒ t4 = 0.5 hour
So, the total travelling time would be,
⇒ t = t1 + t2 + t3 + t4
⇒ t = 1 + 0.5 + 1.5 + 0.5
⇒ t = 3.5 hours
Also, Sue spends stationary from 3 pm to 3.5 pm
⇒ s1 = 3.5 - 3
⇒ s1 = 0.5 hour
She spends stationary from 4 pm to 5 pm
⇒ s2 = 5 - 4
⇒ s2 = 1 hour
She spends stationary from 6.5 pm to 7.5 pm
⇒ s3 = 7.5 - 6.5
⇒ s3 = 1 hour
So, the total stationary time would be,
⇒ s = s1 + s2 + s3
⇒ s = 0.5 + 1 + 1
⇒ s = 2.5 hours
Therefore, Sue spends 3.5 hours on travelling and 2.5 hours stationary.
Learn more about change in value here:
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