SOLUTION: A TRAIN LEFT THE STATION AT 9AM, TRAVELLING AT 50MPH. at 11AM, AN AIRPLANE LEFT THE SAME PLACE IN THE SAME DIRECTION AT 175MPH. AT WHAT TIME DID THE PLANE OVERTAKE THE TRAIN?

Algebra.Com
Question 377501: A TRAIN LEFT THE STATION AT 9AM, TRAVELLING AT 50MPH. at 11AM, AN AIRPLANE LEFT THE SAME PLACE IN THE SAME DIRECTION AT 175MPH. AT WHAT TIME DID THE PLANE OVERTAKE THE TRAIN?
Found 2 solutions by vasumathi, Alan3354:
Answer by vasumathi(46)   (Show Source): You can put this solution on YOUR website!
The train left at 9 am with 50 mph.Let t be the time and the distance train travelled in t hours = 50 t
The plane started after 2 hours that is at 11 am
so the distance covered by the plane in t-2 hours is
175(t-2)
To overtake the train the plane has to meet it first
so it means...
50 t = 175(t-2)
50t = 175t-350
175t-50t= 350
125 t = 350
t = 350/125=2.8
so after 2.8 hours the train and the plane are at the same place
That is at 11.48 AM they are at the same place.So after 11.48 AM the plane overtakes the train.

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
A TRAIN LEFT THE STATION AT 9AM, TRAVELLING AT 50MPH. at 11AM, AN AIRPLANE LEFT THE SAME PLACE IN THE SAME DIRECTION AT 175MPH. AT WHAT TIME DID THE PLANE OVERTAKE THE TRAIN?
--------------
In 2 hours, the train is 100 miles away (50*2)
The plane gains on the train at 125 mph (175 - 50)
100/125 = 0.8 hours = 48 minutes
1100 + 48 --> 1148 AM

RELATED QUESTIONS

please help solve this, thanks A train left the station at 9AM traveling at 50mph. At (answered by checkley79)
A train left the station at 9 AM travelling at 50mph. At 11 PM an airplane left the same... (answered by scott8148)
Please I need the answer for this! A Train left the station at 9 a.m. traveling at 50... (answered by Alan3354)
A train left the train station at 4 a.m. travelling 30 miles per hour.At 6 a.m., an... (answered by josgarithmetic)
A freight train left Tutuban station a 4 am, travelling 30 miles per hour. At 6 am, an... (answered by checkley77)
plEase help! urgEnt! 1. Two cars start from the same point at the same time and travel (answered by Alan3354)
A bicycle leaves town at 10mph at 8am and a car leaves at 11am, traveling in the same... (answered by checkley77)
T 10:15 P.M., a train left Petersburg, Virginia, travelling east at 40 mi/h. Two hours... (answered by mananth)
a train left a station traviling 100km/hr. a second train left 2 hr later and headed in... (answered by checkley75)