Question
Download Solution PDFA person cycling at a speed of 24 kmph reaches college from hostel 11 minutes late. If he cycled at a speed of 30 kmph, he would have reached 8 minutes early. Find the distance between the hostel and college?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFFormula Used:
Distance = Speed × Time
Calculation:
Let the distance between the hostel and college be D km.
Time taken at 24 kmph = D / 24 hours
Time taken at 30 kmph = D / 30 hours
According to the given conditions:
⇒ (D / 24) - (D / 30) = (11 + 8) / 60
⇒ (D / 24) - (D / 30) = 19 / 60
Finding a common denominator for the fractions:
⇒ (5D - 4D) / 120 = 19 / 60
⇒ D / 120 = 19 / 60
⇒ D = 19 × 2
⇒ D = 38 km
∴ The distance between the hostel and college is 38 km.
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