Question
'Pritampur' and 'Kanpur' divide by (d - 100) km, while
'Kanpur' and 'Delhi' are distanced by (d + 150) km. Between the stations of Pritampur and Kanpur, the train travelled at 50 km/h, while between Kanpur and Delhi, it travelled at 30 km/h. Determine the value of "d" if it takes 35 hours to travel from "Pritampur" to "Delhi" via "Kanpur."Solution
ATQ, {[(d-100)/50]+[(d+150)/(50-20)]} = 35 Or,[(d-100)/50]+[(d+150)/30] = 35 Or {3(d-100)+5(d+150)}/150 = 35 Or, 3d - 300 + 5d + 750 = 5,250 Or, 8d + 450 = 5,250 Or, 8d = 4,800 Or, 'd' = 600 Therefore, required value = 'd' = 600
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