Question
Download Solution PDFTwo men walk from a place at speeds of 9 km/h and 12 km/h, respectively. The first man takes 20 minutes more than the second one to cover the journey. Find the distance of the journey.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven
Two men walk from a place at speeds of 9 km/h and 12 km/h, respectively.
Formula used
Time = distance/speed
Calculation
20 min = 1/3
Let the total distance be x km.
According to the question
x/9 - x/12 = 1/3
⇒ (4x - 3x)36 = 1/3
⇒ x/36 = 1/3
⇒ x = 12
The distance of the journey is 12 km.
Shortcut TrickThe distance is = [(9 × 12)/(12 - 9)] × 1/3 = 12 km
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