Question 567468
The local train is 25 miles down the track from the Central Station when the express leaves the station.
The local train travels at a rate of 50 mi/hr and the express train travels at a rate of 80 mi/hr.
Let n represent the number of hours since the express train left Central Station.
a.Write an expression that represents the express train's distance from Central Station in n hours.
distance = 80n miles
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b.When will the express train catch up with the local train?
Local train DAta:
distance = (80n - 25) miles ; rate = 50 mph ; time = (80n-25)/50 hr
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Express train DATA:
distance = 80n ; rate = 80 mph ; time = n hr.
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Equation:
time = time
n = (80n-25)/50
50n = 80n-25
30n = 25
n = 5/6 hrs
n = 50 minutes
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Cheers,
Stan H.