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# a train leaves the station at noon. the train is 180 miles from its destination at...

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.

Posted by quddoos on August 30, 2013 at 11:14 AM via web and tagged with algebra, math

College Teacher

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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

=3:45 p.m

Posted by llltkl on August 30, 2013 at 11:50 AM (Answer #1)