SATHEE: Quantitative Aptitude Ques 2276

Quantitative Aptitude Ques 2276

Question: Two stations, A and B are 827 km apart from each other. One train starts from station A at 5 am and travel towards station B at 62 km/h. Another train starts from station B at 7 am and travel towards station A at 59 km/h. At what time will they meet? [SBI (PO) Phase I 2015]

Options:

A) 1 : 00 pm

B) 11 : 45 am

C) 12 : 48 : 35 pm

D) 11 : 30 : 30 am

E) 1 : 37 : 45 pm

Show Answer

Answer:

Correct Answer: C

Solution:

Let the trains meet after x h of 5 am. So, time taken by train B is $ (x-2),h. $ Speed of train A = 62 km/h Speed of train B = 59 km/h Total distance covered = 827 km According to the question, $ 62x+59,(x-2)=827 $

$ \Rightarrow $ $ 62x+59x-118=827 $

$ \Rightarrow $ $ 121x=827+118 $

$ \Rightarrow $ $ 121x=945 $

$ \Rightarrow $ $ x=\frac{945}{121}=7,h,48\min ,35,s $ Thus, the trains will meet after 7 h 48 min 35 s of 5 am i.e. at 12: 48: 35 pm.

Quantitative Aptitude Ques 2275

Quantitative Aptitude Ques 2277

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