Question
Download Solution PDFA boat can travel 16.9 km downstream in 52 min. If the speed of the current is 3 km/h, then how much time (in hours) will the boat take to travel 84 km upstream?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A boat can travel 16.9 km downstream in 52 min. The speed of the current is 3 km/h. We need to find the time (in hours) the boat will take to travel 84 km upstream.
Formula Used:
Speed = Distance / Time
Time = Distance / Speed
Calculation:
First, convert 52 minutes to hours:
52 min = 52 / 60 = 0.867 h
Let the speed of the boat in still water be x km/h.
The downstream speed of the boat = x + 3 km/h
According to the given data:
x + 3 = 16.9 / 0.867
⇒ x + 3 = 19.5
⇒ x = 19.5 - 3 = 16.5 km/h
The upstream speed of the boat = x - 3 = 16.5 - 3 = 13.5 km/h
Time to travel 84 km upstream = Distance / Speed
⇒ Time = 84 / 13.5
⇒ Time = 6.22 hours
∴ The correct answer is option (1).
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