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AnnapuReddy Venkateswara Reddy

· started a discussion

· 1 Months ago

another method (Question:122529.0)

Any alternate method for this question as this process takes more time

Question:
A person traveled 120 km by steamer, 450 km by train and 60 km by horse. The total journey took 13 hours 30 minutes. If the rate of the train is 3 times that of the horse and 1.5 times that of the steamer, find the rate of the train per hour.
Options:
A) 60 km/hr
B) 65 km/hr
C) 70 km/hr 
D) 75 km/hr
E) None of these
Solution:

Speed = 2n, 3n, 1n

T1 = \(\cfrac{120}{2n}\)

T2 = \(\cfrac{450}{3n}\)

T3 = \(\cfrac{60}{1n}\)

Total time - 13.5 hrs.

\(\cfrac{120}{2n}\) + \(\cfrac{450}{3n}\) + \(\cfrac{60}{1n}\) = 13.5

\(\cfrac{270}{n}\) = 13.5

n = \(\cfrac{270}{13.5}\)

S1 = 2n = 40 kms./hr

S2 = 3n = 60 kms./hr

Train travels at the speed of 60kms/hr.

Knowledge Expert

· commented

· 1 Months ago

Dear student,
We will provide video solution.keep learning.

Regards
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