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Maths Puzzle
At what time r the 2 hands of a clock together between 2 and 3 pm?1- 2/11 hrs past 22- 2/9 hrs past 23- 2:10 pm.Question 2:A man can row 30km upstream and 44 km downstream in 10hrs. Also he can row 40 km upstream and 55km downstream in 13 hours. Find the speed of man in still water?
Read Solution (Total 3)
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- At what time r the 2 hands of a clock together between 2 and 3 pm?
It will be
2/11 hrs past 2
the hour hand travels at 30 degree/1 hr or 1/2 deg per min
minute hand travels at 6 degree per min
If they meet after x min from 2 PM
Angle between two hands at 2 PM = 60 deg
so,(60+x/2)=6x
11x/2=60
x =120/11 minutes after 2 PM
or
2/11 hrs after 2 PM - 12 years agoHelpfull: Yes(2) No(0)
- second qn.
if speed of man in still water is x and
speed of water is y, then
30/(x-y)+44/(x+y)=10
40/(x-y)+55/(x+y)=13
x=8
speed of man in still water is 8 km/hr - 12 years agoHelpfull: Yes(2) No(0)
- rate of upstream=xkm/hr
and rate of down stream =ykm/hr
then 30/x+44/y=10-->1
40/x+55/y=13-->2
eq 1*4
eq 2*3
sloving both y=11
x=5
speed of man in still water is 1/2(11+5)
=8kmph - 12 years agoHelpfull: Yes(0) No(1)
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