Question
Ramesh walked 6 km to reach the station from his house,
then he boarded a train whose average speed was 60 km/h and thus he reached his destination. In this way he took a total time of 3 hours. If the average speed of the entire journey was 32 km/h then the average speed of walking is:Solution
ATQ, we can say that Total distance covered by Ramesh = 32 × 3 96 km Average speed of train = 60 km/hr Let the time taken by train be x hrs distance covered by train = 60 × x Now, According to the question 6 + 60 × x = 32 × 3 6 + 60x = 96 60x = 96 – 6 60x = 90 x = 90/60 x = 1.5 hrs Time taken by Ramesh to cover 6 km distance = 3 – 1.5 = 1.5 hrs Walking speed of Ramesh = Distance/ time = 6/1.5 = 4 km/hr ∴ Average speed of walking is 4 km/hr
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