Question
Two travelers, "P" and "Q," set
out on a journey from point "X" to point "Y." Their travel speeds were in the ratio of 4:5. "P," using the metro, completed the journey in 25 hours, whereas "Q," who traveled by bus, faced a 3-hour delay due to traffic lights and took "h" hours to finish. Given that "Q" moves 10 km/hr faster than "P," find the value of "h."Solution
ATQ, The speed of 'P' = 10 × 4/(5 – 4) = 40 km/hr The speed of 'Q' = 40 × 5/4 = 50 km/hr The distance between point 'X' to point 'Y' = 40 × 25 = 1000 km h = (1000/50) + 3 = 20 + 3 h = 23
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