Question
Download Solution PDFA boat's downstream speed is twice its upstream speed. The boat travels 32 km downstream in time (t + 1) hours and 12 km upstream in time t hours. What is the value of t?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFLet upstream speed = x km/h
⇒ Downstream speed = 2x km/h (Given)
Downstream: Distance = 32 km, Time = (t + 1) hours
⇒ Speed = Distance ÷ Time = 32 ÷ (t + 1)
Upstream: Distance = 12 km, Time = t hours
⇒ Speed = Distance ÷ Time = 12 ÷ t
Now equating speeds:
⇒ 32 ÷ (t + 1) = 2 × (12 ÷ t)
⇒ 32 ÷ (t + 1) = 24 ÷ t
Cross-multiply:
⇒ 32 × t = 24 × (t + 1)
⇒ 32t = 24t + 24
⇒ 32t − 24t = 24
⇒ 8t = 24
⇒ t = 24 ÷ 8 = 3
Thus, the correct answer is 3.
Last updated on Jun 17, 2025
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