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Q6. A boat travels upstream from B to Aand downstream from A to B in 3 h. If thespeed of the boat in still water is 9 km/hand the speed of the current is 3 km/h,what distance between A and B?

Answer»

speed in downstream=9+3 =12kmphspeed in upstream=9-3=6kmph

let the distance b/w a to be xso, time in going b to a (upstream)=x/6 hrtime in going a to b (downstream)=x/12 hr

as , x/6 + x/12=3so, 2x+x/12=3so, 3x=12×3=36so, x=36/3=12 km

speed in downstream=9+3 =12kmphspeed in upstream=9-3=6kmph

let the distance b/w a to be xso, time in going b to a (upstream)=x/6 hrtime in going a to b (downstream)=x/12 hr

as , x/6 + x/12=3so, 2x+x/12=3so, 3x=12×3=36so, x=36/3=12 km.

speed in downstream=9+3=12kmph, spread upstream=9-3=6kmph. let the distance b/w to be x, time in going b to a(up)=x/6 hr.going a to b ( down stream)=x/12 hr. x/6 + x/12 = 3; so, 2x+x/12=3; 3x/12=3, 3x=12×3=36; x=36/3=12 km

12km is the correct answer of this question


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