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At 2:00 P.M. a train A leaves a station traveling at 100 mi/hr.

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Joined: 24 Feb 2020
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At 2:00 P.M. a train A leaves a station traveling at 100 mi/hr.  [#permalink]

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New post 31 Mar 2020, 03:55
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At 2:00 P.M. a train A leaves a station traveling at 100 mi/hr. At 4:30 P.M. train B leaves the station on a parallel route and traveling at 150 mi/hr. How far away from the station will the second train overtake the first train?

A. 250
B. 500
C. 750
D. 800
E. 1500
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Re: At 2:00 P.M. a train A leaves a station traveling at 100 mi/hr.  [#permalink]

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New post 31 Mar 2020, 21:12
1
Relative distance between 2 trains at 4:30PM = 100*2.5 = 250 miles

Relative speed = 150-100 = 50 miles/hr

Time taken by train B to overtake train A = 250/50= 5 hrs

Total distance travelled by train B= 150*5= 750 miles

Ravixxx wrote:
At 2:00 P.M. a train A leaves a station traveling at 100 mi/hr. At 4:30 P.M. train B leaves the station on a parallel route and traveling at 150 mi/hr. How far away from the station will the second train overtake the first train?

A. 250
B. 500
C. 750
D. 800
E. 1500
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Joined: 07 May 2019
Posts: 700
Location: India
Re: At 2:00 P.M. a train A leaves a station traveling at 100 mi/hr.  [#permalink]

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New post 02 Apr 2020, 04:17
1
Ravixxx wrote:
At 2:00 P.M. a train A leaves a station traveling at 100 mi/hr. At 4:30 P.M. train B leaves the station on a parallel route and traveling at 150 mi/hr. How far away from the station will the second train overtake the first train?

A. 250
B. 500
C. 750
D. 800
E. 1500


Solution:


    o Train A has already travelled 2.5 hr when train B started.
    o Distance traveled by A in first 2.5 hr = \(100*2.5 = 250\) miles
    o When train B overtook A, both the train must have traveled same distance.
    o Let t be the time when train B overtook A.
       Distance covered by A = \(250 + 100*t\)
       Distance covered by B = \(150*t\)
    o \(150*t = 250 + 100*t\)
    o \(150*t – 100*t =250\)
    o \(50*t = 250\)
    o \(t = 5 hr\)
    o Total distance travelled by travel B = \(150*5 = 750\) miles.
Hence, the correct answer is Option C.
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Re: At 2:00 P.M. a train A leaves a station traveling at 100 mi/hr.   [#permalink] 02 Apr 2020, 04:17

At 2:00 P.M. a train A leaves a station traveling at 100 mi/hr.

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