The speed of a boat in still water is 6 km/h. Time taken by the boat to cover a certain distance upstream is 3 hours more than the time taken to cover the same distance downstream.If the speed of the stream is 2 km/h, then what is the total distance, upstream and downstream, covered by the boat?
Answer & explanation
Correct answer: option 3
Given,
The speed of boat in still water = 6 km/hour
The speed of stream = 2 km/hour
The speed of stream in downstream = 8 km/hour
The speed of stream in upstream = 4 km/hour
Let the distance be D km
Now, according to question
\(\frac{D}{4}\)= 3 + \(\frac{D}{8}\)
= \(\frac{D}{4}\)– \(\frac{D}{8}\)= 3
= \(\frac{D}{8}\)= 3
D = 24
The total distance covered by the boat in upstream and downstream = 24 × 2 = 48 km