UP TGT Mathematics Commercial Mathematics Test Series - Part 4
A boat travels 24 km upstream and 36 km downstream in 6 hours. It also travels 36 km upstream and 24 km downstream in 6....
Type: MCQ • Marks: 1
A boat travels 24 km upstream and 36 km downstream in 6 hours. It also travels 36 km upstream and 24 km downstream in 6.5 hours. What is the speed of the boat in still water?
Options
A. 1) 10 km/h
B. 2) 14 km/h
C. 3) 8 km/h
D. 4) 12 km/h
Explanation
Let 1/u = x (upstream rate) and 1/v = y (downstream rate).
24x + 36y = 6 and 36x + 24y = 6.5.
Solving gives x = 1/8 (u = 8 km/h) and y = 1/12 (v = 12 km/h).
Speed in still water = (v + u)/2 = (12 + 8)/2 = 10 km/h.
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