Question
On travelling with 30% less speed than his actual speed,
Arjun reached the destination 2 hours late. Find the approximate time taken by him to reach his destination while travelling with his actual speed.Solution
ATQ, Let the actual speed of Arjun be ‘s’ km/hr. And, actual time taken by him to reach his destination is ‘t’ hours. So, total distance covered by Arjun in ‘t’ hours = {s × t} km --------- (1) Also, Distance covered by Arjun while travelling at 30% less speed = 70% of s × (t + 2) = 0.7 × s × (t + 2) km --------- (2) From equation (1) and (2), we have s × t = (7/10) × s × (t + 2) Or, 10st = 7st + 14s Or, 3st = 14s So, t = 14/3 = 4.67 hours So, required time = 4.67 hours ~ 5 hours
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