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if you could show your work I'd appreciate it

2006-06-21 08:41:51 · 13 answers · asked by Tenacious T 1 in Science & Mathematics Mathematics

Point A and Point B are 600 miles apart. A train leaves Point A travelling toward Point B at 5:30AM at a constant speed of 65 kph. Another train leaves Point B heading toward Point A at 6:20AM at a constant speed of 40 kph. What time do the two trains meet?

2006-06-21 08:42:09 · update #1

yes, I am aware that its miles and kilometers...you must convert

2006-06-21 08:49:52 · update #2

13 answers

Point A and Point B are 600 miles apart. A train leaves Point A travelling toward Point B at 5:30AM at a constant speed of 65 kph. Another train leaves Point B heading toward Point A at 6:20AM at a constant speed of 40 kph. What time do the two trains meet?1 kilometer = 0.6214 miles

x=kilometers 5/6(50 minutes/60 minutes)*65= 54.166...km
x=.6214 (600 miles)
x=372.84 kilometers apart
5/6(50 minutes/60 minutes)*65= 54.166...km
372.84-54.17= 318.67km between the 2 trains at 6:20
thats as far as I can get (I don't remember how to do this... hope this helps!)

2006-06-21 08:54:46 · answer #1 · answered by musicpetlover 2 · 0 0

Point A and Point B are 600 miles apart. A train leaves Point A travelling toward Point B at 5:30AM at a constant speed of 65 kph. Another train leaves Point B heading toward Point A at 6:20AM at a constant speed of 40 kph. What time do the two trains meet?

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2006-06-21 09:00:14 · answer #2 · answered by Vivek 4 · 0 0

600 miles = 965.6064 kilometers

At 5:30 the trains had traveled 0 km
At 6:30 the trains had traveled 65 + 40/6 = 71.6666 km
At 7:30 the trains had traveled 176.6666 km
At 1:30 the trains had traveled 806.6666 km
At 2:30 the trains had traveled 911.6666 km

That leave 965.6064 - 911.6666 = 53.9398 km left to account for. In what fraction of an hour would the two trains together travel this distance? 53.9398 / 105 = 0.51371 hours = 30.82274 minutes = 30 minutes, 49.36 seconds

Thus, the trains would meet at 3:00:49.36

2006-06-21 09:20:26 · answer #3 · answered by jimbob 6 · 0 0

Not sure about this, but if the distance between the 2 trains is 600miles (965.4 kms), then for every km that train B travels, train A travels 1.625 kms. (65 divided by 40) (So train A will be going almost two thirds faster than train B). They should meet when train A has done 62.5 percent of its journey. 62.5% of 965.4 = 603.375
Divide 603.375 by 65 and you have the hours travelled by train A to reach that point. (9.28 hrs or 9 hrs and 17 minutes) So the trains meet at 05.30 + 9hrs 17.
Given that train B left 50 mins after train A we need to add this back on so 14.17 plus 50 mins
= 15.07

2006-06-21 09:21:10 · answer #4 · answered by Shona L 5 · 0 0

65 km/hr = 40.39 mph

40 km/hr = 24.85 mph

First you must assume that they are in the same time zone. Then Train A gets a 50 min head start. So it will travel:

50min/(60min/hr)*40.39 mph = 35.66 miles.

The total distance between the trains when Train B starts is therefore:

600 - 35.66 miles = 566.34 miles

Then 40.39*t + 24.85*t = 566.34
t = 566.34/65.24 = 8.68 hours to meet from the time B starts.

Therefore, they meet at 6:20 + (8 hours and 0.68*60 minutes)=

6:20 + 8hours 40.8 minutes =

Just about 3 pm (and 0.8*60 seconds) =

3:00 48" pm

2006-06-21 08:55:22 · answer #5 · answered by jimvalentinojr 6 · 0 0

You leave out some important information. Are point A and B connected with more than one track? Are they even on a well behaved surface? If the two points are on the the surface of earth, there are two direct paths that lead from A to B.

2006-06-21 09:09:41 · answer #6 · answered by Karman V 3 · 0 0

Does the two trains start with their heads at the points A and B, or with their tails, or do they start with the middle of them at the points? How long are the trains?

2006-06-21 09:54:52 · answer #7 · answered by User1 2 · 0 0

You realize you are giving us miles and the kilometers? Is this really they way the question is worded?

Lol no i think your supposed to convert it.

I agree with the 3:00

2006-06-21 08:46:28 · answer #8 · answered by gnomes31 5 · 0 0

u r giving the distance in miles and speed in kms. Correct it!

2006-06-21 08:49:28 · answer #9 · answered by Jas 3 · 0 0

They never meet.
They got a red signal before the collision.

2006-06-21 08:45:01 · answer #10 · answered by manofadvntr 5 · 0 0

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