Speed of boat in still water 10 kmph.If the boat takes 24hr in up stream and 16hr in down stream to cross the same distance, then what will be the distance covered.

harry

• May 19th, 2005

192

peter

• Jun 11th, 2005

200

nmodi

• Jul 17th, 2005

Ans. 384 Kms.
Speed of boat = 10 Kmph;
Let speed of river = x;
Relative speed of boat in upstream = 10 - x;
Relative speed of boat in downstream = 10 + x;
Since, Distance = Velocity * Time;
Distance upstream = (10 - x) * 24;
Distance downstream = (10 + x) * 16;
Distance upstream = Distance downstream;
(10 - x) * 24 = (10 + x) * 16;
therefore x = 2;
Total distance = distance upstream + distance downstream;
Total distance = (10 - x) * 24 + (10 + x) * 16;
Total distance = 8 * 24 + 12 * 16 = 192 + 192 =384 Km

nimmi

• Jul 27th, 2005

speed in still water=0.5(speed upstream+speed downstream)
let distance be x kms.
0.5((x/24)+(x/16))=10
solving,distance x=192.

jaspreet(jagz)

• Feb 19th, 2006

D=16(10+x) =24(10-x) // D is the distance traveeled.. and x is the speed of the stream).......=>x=2 kmphthus D=192 km

nilu

• Aug 4th, 2006

192(right ans)

• Dec 7th, 2006

hey the answer shoud be 192+192=384 since he asked for the distance covered....

• Jun 14th, 2008

speed of boat in still water=10kmph
speed of upstream=d/24
speed downstream=d/16

speed of boat in still water=1/2(speed upstream+speed downstream)
10=1/2(d/24+d/16)

d=192 km