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# Two trains for Mumbai leave Delhi at 6 am and 6.45 am and travel at 10

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Math Expert
Joined: 02 Sep 2009
Posts: 52921
Two trains for Mumbai leave Delhi at 6 am and 6.45 am and travel at 10  [#permalink]

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20 Mar 2016, 08:48
2
5
00:00

Difficulty:

75% (hard)

Question Stats:

65% (02:36) correct 35% (02:46) wrong based on 202 sessions

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Two trains for Mumbai leave Delhi at 6 am and 6.45 am and travel at 100 kmph and 136 kmph respectively. How many kilometers from Delhi will the two trains be together.

A. 260 km
B. 262.4 km
C. 275 km
D. 283.33 km
E. 300 km

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Re: Two trains for Mumbai leave Delhi at 6 am and 6.45 am and travel at 10  [#permalink]

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20 Mar 2016, 09:42
4
5
In the first 45 minutes, train A is able to travel 100 kmh * (3/4) h = 75 km.
The relative speed of the second train to the first train is 36 kmh. Thus we need to find the time that the second train will take to cover that distance:
D = s*t
75 = 36kmh * t ==> t = 75/36 h

Now we need to find the distance traveled in that amount of time:
D = s*t
D = 136kmh * (75/36)h
D = 283.33 km

##### General Discussion
Intern
Joined: 03 Apr 2017
Posts: 45
Re: Two trains for Mumbai leave Delhi at 6 am and 6.45 am and travel at 10  [#permalink]

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27 Aug 2018, 10:04
I know this is probably a stupid objection to say. But according to me, we cannot tell when they will be together if at all. What if in 45 mins, train A has already reached Mumbai. We don't know the distance between Delhi and Mumbai do we?
Intern
Joined: 25 Dec 2017
Posts: 4
Re: Two trains for Mumbai leave Delhi at 6 am and 6.45 am and travel at 10  [#permalink]

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04 Sep 2018, 09:14
At 6:45 the first train already pass 100*45/60 km = 75 km
After 6:45 both trains spent equal time (t hours) until they meet.

So we have 75+100t = 136t
75 = 36t
t=75/36 hours

So total distance = 136* 75/36 = 283,33 km

P.S. The distance between Delhi and Mumbai about 1,400 km
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Re: Two trains for Mumbai leave Delhi at 6 am and 6.45 am and travel at 10  [#permalink]

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04 Sep 2018, 09:26
Bunuel wrote:
Two trains for Mumbai leave Delhi at 6 am and 6.45 am and travel at 100 kmph and 136 kmph respectively. How many kilometers from Delhi will the two trains be together.

A. 260 km
B. 262.4 km
C. 275 km
D. 283.33 km
E. None of these

Distance gained by first train started at 6 am till 6:45 am = 100*(45/60) = 75 km

Relative speed = 136-100=36

Time = relative distance / relative speed = 75/36 hours

distance travelled by first train = 75 +(75/36)*100 = 283.33 km

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Re: Two trains for Mumbai leave Delhi at 6 am and 6.45 am and travel at 10  [#permalink]

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04 Sep 2018, 09:27
mitrakaushi wrote:
I know this is probably a stupid objection to say. But according to me, we cannot tell when they will be together if at all. What if in 45 mins, train A has already reached Mumbai. We don't know the distance between Delhi and Mumbai do we?

this is a well raised objection and question should be rephrased to avoid this ambiguity.
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Re: Two trains for Mumbai leave Delhi at 6 am and 6.45 am and travel at 10   [#permalink] 04 Sep 2018, 09:27
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# Two trains for Mumbai leave Delhi at 6 am and 6.45 am and travel at 10

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