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Maths Puzzle
Aman can row 1km upstream in 20 min and back to his starting point in 12 min.How long would he take to row 1km in still water?.
Read Solution (Total 4)
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- If his speed is x mtr/min in still water and w mtr/minis speed of water, then
x-w= 1000/20=50
x+w= 1000/12= 250/3
adding
2x= 50 + 250/3= 400/3
x=200/3 mtrs/min
time taken to row 1 kms in still water = 1000/(200/3)= 15 mins.
- 11 years agoHelpfull: Yes(3) No(0)
- Ans 15 min.
If Speed of Aman =a , Stream=s
In upstream, Speed=a-s Given 1/(a-s) =1/3 or a-s=3 ---(i)
In downstream Speed=a+s,Given 1/(a+s)=1/5 or a+s=5 ---(ii)
Solving we have a=4 km/hr
So time taken in still water for Aman to row= 1/4 Hr.= 15 minutes
- 11 years agoHelpfull: Yes(1) No(1)
- In all such upstream/downstream problems, as distance remain same, the time is HM
of two times. - 11 years agoHelpfull: Yes(1) No(1)
- Using the formula of harmonic mean 2ab/(a+b), the result would be
2*20*12/32 = 15 min
- 11 years agoHelpfull: Yes(1) No(0)
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