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23 Mar 2021, 06:00
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E
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Difficulty:
25%
(medium)
Question Stats:
80% (01:49) correct
20%
(02:05)
wrong
based on 185
sessions
History
Date
Time
Result
Not Attempted Yet
Two trains A and B leave Delhi for Bangalore at 9 am and 9:30 am respectively. Train A travels at a speed of 120 km/hr while Train B travels at a speed of 150 km/hr. At what distance from Delhi will the two trains meet?
A 30 km
B 60 km
C 120 km
D 270 km
E 300 km
A 30 km
B 60 km
C 120 km
D 270 km
E 300 km
23 Mar 2021, 10:35
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Bunuel
E.
In 30 mins A will travel 60kms
In 1 hr train B covers 30 km more than A, hence B will need 2 hrs to cover the 60 km difference.
In 2hrs train B will travel: 150*2 =300 kms
ananya3
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Joined: 05 Oct 2018
Last visit: 17 Dec 2022
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Location: India
Schools: Fuqua '24 Haas '24 ISB '23 Johnson '24 Kelley '24 Kenan-Flagler '24 McDonough '24 NUS Ross '24 Tepper '24 Tuck '24 Rotman '24 (A)
GMAT 1: 700 Q49 V36
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Schools: Fuqua '24 Haas '24 ISB '23 Johnson '24 Kelley '24 Kenan-Flagler '24 McDonough '24 NUS Ross '24 Tepper '24 Tuck '24 Rotman '24 (A)
GMAT 1: 700 Q49 V36
Posts: 106
23 Mar 2021, 11:35
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IMO E
relative speed of the trains in the same direction = 150-120 = 30km/hr
time difference between the two trains at the start = 30mins = 1/2hr
=> distance covered in 1/2hr using the relative speed = time * speed = 1/2 * 30 = 15km
distance covered by A in 30mins = speed * time = 120 * 1/2 = 60km
-> the two trains will meet after 15km + 60Km = 75km (not in option)
the trains will meet after distances: {75, 150, 225, 300, ...}
=> trains will meet at a distance of 300km
relative speed of the trains in the same direction = 150-120 = 30km/hr
time difference between the two trains at the start = 30mins = 1/2hr
=> distance covered in 1/2hr using the relative speed = time * speed = 1/2 * 30 = 15km
distance covered by A in 30mins = speed * time = 120 * 1/2 = 60km
-> the two trains will meet after 15km + 60Km = 75km (not in option)
the trains will meet after distances: {75, 150, 225, 300, ...}
=> trains will meet at a distance of 300km
