Jared dropped mei off at the train station and left at the same time meis train departed. They are moving the the exact opposite directions, the train at 60 kilometers per hour and jared at 72 kilometers per hour. How long will it be before Jared and mei are 57 kilometers apart SHOW YOUR WORK

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JozsefG

High School

Jared dropped mei off at the train station and left at the same time meis train departed. They are moving the the exact opposite directions, the train at 60 kilometers per hour and jared at 72 kilometers per hour. How long will it be before Jared and mei are 57 kilometers apart

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mohan67

Verified answer

Answer:
It will take 0.4318 hours.
Step-by-step explanation:
Let the time at which they are at 57 kilometers be "t".
The speed of train is 60 kilometers per hour and jared is 72 kilometers per hour.
The distance tarvelled of train in time t is given by
D1 = (60)(t)
The distance tarvelled of jared in time t is given by
D2 = (72)(t)
It is given that they start off at same time in opposite directions and are at distance of 57 kilometers in time t.
Thus, the equation is
$72t+60t = 57$
$132t = 57$
$t = \frac{57}{132} = 0.4318$
Thus, it will take 0.4318 hours.
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