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Question

Answer

(a) Total distance PQ = 1392
Train A Speed = u Train A Time = 5 Train A Distance travelled = 5u
Train B Speed = u+12 Train B Time = 5 Train B Distance travelled = 5(u+12) = 5u + 60
Distance apart = 232
Distance travelled by 2 trains in 5 hours = 1392-232 = 1160
5u + 5u + 60 = 1160
10u = 1160-60 = 110
u = 110
u+12 = 110+12 = 122
Hence Train B speed = 122 km/h
(b) Time taken to meet = t
110t + 122t = 1392
232t = 1392
t = 6
Hence starting from 10am, after 6 hours, it would be 4pm that they would pass each other.