Aptitude - Boats and Streams - Discussion

Discussion Forum : Boats and Streams - General Questions (Q.No. 12)
12.
A man can row three-quarters of a kilometre against the stream in 11 minutes and down the stream in 7 minutes. The speed (in km/hr) of the man in still water is:
2
3
4
5
Answer: Option
Explanation:

We can write three-quarters of a kilometre as 750 metres,

and 11 minutes as 675 seconds.

Rate upstream = 750 m/sec = 10 m/sec.
675 9

Rate downstream = 750 m/sec = 5 m/sec.
450 3

Rate in still water = 1 10 + 5 m/sec
2 9 3

   = 25 m/sec
18

   = 25 x 18 km/hr
18 5

   = 5 km/hr.

Discussion:
42 comments Page 1 of 5.

Gulam said:   2 decades ago
how to find it minutes to millisecond
plz reply me
Thanks

Mohan said:   1 decade ago
How can we find the value for Rate Upstream and Rate downstream
reply plz /....

Sumathipriya said:   1 decade ago
how to find rate upstream and rate downstream?

Nagarjun said:   1 decade ago
rate of upstream is equal to speed of boat in upstream..say->A
(and)
rate of downstream is equal to speed of boat in downstream..->B

speed of boat in still water = 1/2(A+B)...say->X

speed of stream or rate of stream = 1/2(A-B)...say->Y

then speed of boat in downstream = X+Y
speed of boat in upstream = X-Y

Jerry said:   1 decade ago
3/4=0.75km
0.75*1000=750km

Sanchit said:   1 decade ago
Distance=3/4km
time taken upstream=11 1/4 min= 45/4min
time taken upstream (in hours)=45/48*1/60=3/16 hrs
speed upstream = distance (km)/time (in hours)
=3/4 * 16/3= 4kmph
time taken downstream = 7 1/2 = 15/2 min
time taken downstream (in hrs) = 15/2*1/60=1/8 hrs
speed downstream = distance/time = 3/4*8 = 6 kmph
now, speed in still water = 1/2* (4+6)
= 10/2
= 5 kmph
Isn't it easier ?

Santhosh said:   1 decade ago
@sanchit : You Have done Perfect :)

Deepi said:   1 decade ago
Rate of upstream and rate of downstream means speed of upstream and speed of downstream
From the formula Distance=time*speed
rate of upstream=Distance/time

Here they given as three quarters of km that is 3/4 and minutes from that we can find the speed in m/sec.

So totally solution comes in the form of m/sec to covert the m/sec in km/h we need to multiply 18/5.

Deepi said:   1 decade ago
To convert mints to seconds just multiply by 60.
to convert mints to hour just divide by 60.
here 11 1/4 mint (11*4+1) 45/4
To convert 45/4*60=675

Nizampatnam said:   1 decade ago
Yes Down Stream 7 1/2=15/2*60
=900/2
=450sec


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