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 A Boat takes total 10 hours for traveling downstream from point A to point B and coming back point C which is somewhere between A and B. The speed of the Boat in Still water is 9 Km/hr and rate of Stream is 3 Km/hr, then what is the distance between A and B if the ratio of distance between A to C and distance between B to C is 2:1?
  • a)
    54 Km
  • b)
    66 Km
  • c)
    72 Km
  • d)
    84 Km
  • e)
    Cannot be determined
Correct answer is option 'C'. Can you explain this answer?

Naman Agrawal answered
Given ratio of distance = 2:1, let the distance between A and C =2X km and B To C = X km respectively. total dis. travelled A to B= 3X km downstream speed =(9+3)=12 km/hr. upstream Speed =(9-3)= 6km/hr; so, time taken to travel from A to B= 3X/12 hrs. similarly between B to C =X/6 hrs. Total time taken =(3X/12+X/6)= 5X/12 hrs. equating 5X/12= 10, we get X=24 kms. so, the distance between A to B= 3X=(3*24)= 72 kms. op(c)

A Boat takes 128 min less to travel to 48 Km downstream than to travel the same distance upstream. If the speed of the stream is 3 Km/hr. Then Speed of Boat in still water is?
  • a)
    6 Km/hr
  • b)
    9 Km/hr
  • c)
    12 Km/hr
  • d)
    15 Km/hr
  • e)
    None
Correct answer is option 'C'. Can you explain this answer?

Karan Bajaj answered
Speed of stream = 3km/hr
Distance = 48km
consider T1=time during downstream
T2=time during upstream

Condition given: T2-T1=128minutes = 128/60 hours
To find : SPEED OF BOAT IN STILL WATER (let's assume u)

Solution :- T2= 48/(u-3)
T1=48/(u+3)
using: T2-T1= 128/60
48/(u-3) - 48/(u+3)= 128/60
After taking LCM we get
288/(u²-9) =128/60
u²-9=(288×60)/128
u²-9= 15×9
u²= 135+9
u²= 144
u=12km/hr

so option C is the correct answer

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