a train leaves the station at noon. the train is 180 miles from its destination at 12:45.p.m at 90 miles from its destination at 2:15 p.m.
A) how far is the station fromm the destination?
B) at what time will the train each the destination?
can you show me the calcultion.
1 Answer | Add Yours
At 12:45 p.m the train is 180 miles from the destination.
At 2:15 p.m the train is 90 miles from the destination
So, the time period between 12:45 p.m to 2:15 p.m = 1.5 hours
In 1.5 hours train has covered (180-90)=90 miles
So, in 1 hour it can cover (90/1.5)= 60 miles
So, speed of the train= 60 mph
A) From noon to 12:45 p.m = 45 minutes
In 45 minutes at 60 mph it would have covered 45 miles
Therefore, the distance between the station and the destination
=(45 +180) miles = 225 miles
B) At 2:15 p.m the train is 90 miles away from the destination
Speed of the train=60 mph
Time taken by the train to cover this distance=90/60=1.5 hrs.
Therefore, the train will reach the destination at (2:15+1:30)p.m
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