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20 Apr 2020, 09:37
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Train A travelling at 63 kmph takes 27 seconds to cross Train B when travelling in opposite direction whereas it takes 162 seconds to overtake it when travelling in the same direction. If the length of train B is 500 meters, what is the length of Train A?
A. 810 m
B. 500 m
C. 400 m
D. 310 m
E. 300 m
Are You Up For the Challenge: 700 Level Questions
A. 810 m
B. 500 m
C. 400 m
D. 310 m
E. 300 m
Are You Up For the Challenge: 700 Level Questions
20 Apr 2020, 10:39
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Length of train A = \(L_a\); Length of train B = \(L_b\)
Speed of train A = \(v_a\); Speed of train B = \(v_b\)
\(\frac{L_a+L_b}{v_a+v_b }= 27/3600\).......(1)
\(\frac{L_a+L_b}{v_a-v_b} = 162/3600\)........(2)
From (1) and (2), we get
\(\frac{v_a+v_b}{v_a-v_b }= 6\)
\(v_a/v_b = \frac{7}{5}\)
\(v_b = 45Km/h\)
\(\frac{L_a+L_b}{v_a+v_b} = \frac{27}{3600}\)
\(\frac{L_a+0.5}{108} =\frac{ 27}{3600}\)
\(L_a = 0.31Km\) \(or\) \(310m\)
Speed of train A = \(v_a\); Speed of train B = \(v_b\)
\(\frac{L_a+L_b}{v_a+v_b }= 27/3600\).......(1)
\(\frac{L_a+L_b}{v_a-v_b} = 162/3600\)........(2)
From (1) and (2), we get
\(\frac{v_a+v_b}{v_a-v_b }= 6\)
\(v_a/v_b = \frac{7}{5}\)
\(v_b = 45Km/h\)
\(\frac{L_a+L_b}{v_a+v_b} = \frac{27}{3600}\)
\(\frac{L_a+0.5}{108} =\frac{ 27}{3600}\)
\(L_a = 0.31Km\) \(or\) \(310m\)
Bunuel
General Discussion
RiteshR
Joined: 14 Feb 2012
Last visit: 25 Oct 2022
Posts: 4
Given Kudos: 44
Location: India
Schools: Sauder '23 IMD Jan'23 intake
16 May 2022, 00:39
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[quote="Bunuel"]Train A travelling at 63 kmph takes 27 seconds to cross Train B when travelling in opposite direction whereas it takes 162 seconds to overtake it when travelling in the same direction. If the length of train B is 500 meters, what is the length of Train A?
A. 810 m
B. 500 m
C. 400 m
D. 310 m
E. 300 m
Hi Bunuel,
Can you help in solving the question in simplest form.
Thanks.
A. 810 m
B. 500 m
C. 400 m
D. 310 m
E. 300 m
Hi Bunuel,
Can you help in solving the question in simplest form.
Thanks.
