Given:
8.4km upstream in 14 minutes.
Speed of a boat in still water : Speed of a stream = 6 : 1
Let the speed of a boat in still water be 6x,
Speed of a stream be x
Speed in upstream direction, x – y
⇒ 6x – x
⇒ 5x
Speed = Distance/Time
⇒ 5x = 8.4km/14 min
⇒ 5x = 0.6km/min
⇒ x = 0.6/5 km/min
Speed in downstream direction, x + y
⇒ 6x + x
⇒ 7x
Putting the value of x,
⇒ 7 × 0.6/5
⇒ 4.2/5
Distance to travel in downstream is 33.6 km
Using the formula,
⇒ 4.2/5 = 33.6/Time
⇒ Time = (33.6 × 5)/4.2
⇒ Time = 40 minutes
∴ Time required to cover 33.6 km distance is 40 minutes.