A train leaves Tirupathi at 6.00p.m. and reaches Hyderabad at 8.00 a.m. and another train leaves
Hyderabad at 8.00 p.m. and reaches Tirupathi at 10 a.m. When will the two trains meet?
A
12.00 noon
B 11.00 a.m.
С
3.00 a.m.
D
2.00 a.m.
Answers
Given : A train leaves Tirupathi at 6.00p.m. and reaches Hyderabad at 8.00 a.m. and another train leaves Hyderabad at 8.00 p.m. and reaches Tirupathi at 10 a.m
To Find : When will the two trains meet?
Solution:
A train leaves Tirupathi at 6.00p.m. and reaches Hyderabad at 8.00 a.m
=> Time taken = 14 hr
another train leaves Hyderabad at 8.00 p.m. and reaches Tirupathi at 10 a.m
=> Time taken = 14 hr
As Distance and time taken are same hence their speed are same
Let Say Distance between both stations = 14D km
Time taken = 14 hr
Hence Speed = D km /hr
Let say Train me et after T hrs of 6 PM
Hence one train travel for T hrs and another train for T - 2 Hr
=> DT + D(T - 2) = 14D
=> 2DT = 16D
=> T = 8
8 hrs after 6 PM = 2 AM
the two trains me et at 2 : 00 AM
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