The ratio of the speed of boat in still water to the speed of stream is 16:5. A boat goes 16.5 km in 45 minute upstream, find the

2 thoughts on “The ratio of the speed of boat in still water to the speed of stream is 16:5. A boat goes 16.5 km in 45 minute upstream, find the”

1. Answer:

   The time taken by boat to cover the distance of

   17.5 km ddownstream is 25 minutes.

   Solution:

   Let the speed of boat in still water = 16x, speed of stream = 5xUpstream speed = 16x – 5x = 11x

   [tex]s = \frac{d}{t} \\ 11x = \frac{16.5}{45} \times 60 \\ x = 2[/tex]

   speed of boat in still water = 32 km/h, speed of stream = 10 km/h

   Downstream speed = 32 + 10 = 42 km/h

   Distance = 17.5 km

   [tex]time = \frac{17.5}{42} \\ = \frac{5}{12} \: hours \\ or \frac{5}{12} \times 60 = 25 \: minutes[/tex]

   Reply

2. Answer:

   this answer is in detailed

   Step-by-step explanation:

   from first condition,

   Speed of boat in still water : Speed of stream = 16 : 5

   let common multiple be x

   then,

   Speed of boat in still water = 16x km/min

   Speed of stream = 5x km /min

   speed of boat in upstream = 16x – 5x

   = 11x km/min

   speed of boat in downstream = 16x + 5x

   = 21x km/min

   we have,

   speed = distance/time

   from second condition,

   11x = 16.5/45

   x =1/30

   we have,

   speed = distance/time

   time = distance/speed

   time taken by boat in upstream = 17.5/21x

   = 17.5/21/30

   = 17.5 × 30/21

   = 25 min

   Reply