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Option 4 : 120 km/hr
Concept used:
Time = Distance/Speed
Calculation:
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The difference of the time (1/2 hr) is because of 180 km.
According to question -
⇒ 180/(3s/4) – 180/s = (t + 3) – (t + 2.5)
⇒ 720/3s – 180/s = 0.5
⇒ (720 – 540)/3s = ½
⇒ 180/3s = ½
⇒ 60/s = ½
⇒ s = 120 km / hr
∴ The usual rate of the train (s) is 120 km/hr.
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