
To find: Juliette’s 400-meter dash time.

Answer to Problem 27IP
Juliette’s 400-meter dash time =x=85.1 seconds.
Juliette’s 400-meter dash time > Torie’s 400-meter dash time
Explanation of Solution
Given information:
Torie’s 400-meter dash time = Original value =74 seconds
Juliette’s time is 15% faster than Torie’s.
It means
Percent of change = 15%
Percent of change =AO×100
Where
A= Amount of change.
O= Original amount.
From given information
Torie’s 400-meter dash time = Original value =74 seconds
Juliette’s time is 15% faster than Torie’s.
It means
Percent of change = 15%
Let 'x' be Juliette’s 400-meter dash time that means Final value.
Amount of change = Final value − Original value
⇒A=x−74
Therefore,
Percent of change =x−7474×100
⇒15=100x−740074⇒100x−7400=15×74⇒100x−7400=1110⇒100x=1110+7400⇒100x=8510⇒x=8510100⇒x=85.1
Therefore,
Juliette’s 400-meter dash time =x=85.1 seconds.
On comparing with
Torie’s 400-meter dash time
We get
Juliette’s 400-meter dash time > Torie’s 400-meter dash time
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