Aptitude - Problems on Trains - Discussion

Discussion Forum : Problems on Trains - General Questions (Q.No. 28)
28.
A train overtakes two persons walking along a railway track. The first one walks at 4.5 km/hr. The other one walks at 5.4 km/hr. The train needs 8.4 and 8.5 seconds respectively to overtake them. What is the speed of the train if both the persons are walking in the same direction as the train?
66 km/hr
72 km/hr
78 km/hr
81 km/hr
Answer: Option
Explanation:

4.5 km/hr = ( 4.5 x 5 ( m/sec = 5 m/sec = 1.25 m/sec, and
18 4

5.4 km/hr = ( 5.4 x 5 ( m/sec = 3 m/sec = 1.5 m/sec.
18 2

Let the speed of the train be x m/sec.

Then, (x - 1.25) x 8.4 = (x - 1.5) x 8.5

=> 8.4x - 10.5 = 8.5x - 12.75

=> 0.1x = 2.25

=> x = 22.5

Therefore Speed of the train = ( 22.5 x 18 ( km/hr = 81 km/hr.
5

Discussion:
54 comments Page 6 of 6.

Varun said:   8 years ago
Thank you @Sathees.

Prasanna said:   6 years ago
Answer is 81km/hr.

Sourav maity said:   9 years ago
Why you take 5/18?

Tinku majumder said:   1 decade ago
How 5/18 Came?


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