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Maths Puzzle
two boats go downstream from point x to point y.the faster boat covers the distance from x to y 1.5 times as fast as the slower boat.it sis known that for every hour the slower boat lags behind the faster boat by 8 km.however,if they go upstream,then the faster boatcovers the distance from y tox in half thetime as the slower boat.find the speed of faster boat in still water.
Read Solution (Total 2)
-
- Given,
Speed of the faster boat Downstream = 1.5 * speed of the slower boat downstream ----------(1) [Difference in First hour]
Speed of the Faster Boat Downstream = Speed of the slower boat + 8 ------------- (2)
Using Equation (1) and (2), we get
Speed of the faster Boat Downstream = 16 kmph
Now,
Time taken by the faster Boat / Time taken by the Slower boat Upstream = 1 /2
Hence,
Time taken by the faster Boat Upstream = 2* Time taken by the slower Boat Upstream --------(3)
And,
Faster boat's speed upstream - 8 = Slower boat's speed upstream -------- (4) Using (4) and (3), we get
Speed of the faster Boat upstream = 8 kmph
Thus,
speed of the faster Boat in still wat - 8 years agoHelpfull: Yes(3) No(0)
- 1.5 -1 = 8
0.5 = 8
1 = 16 km/h UPSTREAM
2-1 = 8
1=8 KMPH
24-16/2 = 4 KMPH
24-4 = 20 KM/H - 8 years agoHelpfull: Yes(1) No(0)
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