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Uday shankar chauhan

· started a discussion

· 1 Months ago

missmatch datas (Question:609792.0)

please correct data in hindi question

Question:
A train X starts from Meerut at 4 p.m. and reaches Ghaziabad at 5 p.m. while another train Y starts from Ghaziabad at 4 p.m. and reaches Meerut at 5.30 p.m. The two trains will cross each other at?
Options:
A) 4.36 p.m.
B) 4.42 p.m.
C) 4.48 p.m.
D) 4.50 p.m.
Solution:

Suppose, the distance between Meerut and Ghaziabad is x km.

Time taken by X to cover x km. = 1 hour.

Time taken by Y to cover x km. = \(\cfrac{3}{2}\) hours.

Speed of X = x kmph, Speed of Y = (\(\cfrac{2x}{3}\)) kmph.

Let them meet y hours after 4:00 p.m. Then,

xy + \(\cfrac{2xy}{3}\) = x <=> y (1 + \(\cfrac{2}{3}\)) = 1  <=> y = \(\cfrac{3}{5}\) hours =  (\(\cfrac{3}{5}\) x 60) minutes

 = 36 minutes

So, the two trains meet at 4:36 p.m.

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