Question
Download Solution PDFA boat goes 20 km upstream and 44 km downstream in 8 hours. In 5 hours, it goes 15 km upstream and 22 km downstream. Determine the speed of the boat in still water.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept used:
If upstream speed = U and downstream speed = D, then speed of boat = (U + D)/2
Calculation:
According to the question,
20/U + 44/D = 8 … (i)
15/U + 22/D = 5 … (ii)
Multiply by 2 the equation (ii) then subtract from 1 we get
20/U + 44/D = 8
30/U + 44/D = 10
- 10/U = - 2
⇒ U = 5 km/hr
Putting the value in equation (i), we get D = 11
So, the speed of boat = (U + D)/2 = (5 + 11)/2 = 8 km/hr
∴ The correct answer is 8 km/hr
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