The speed of a boat going downstream is 22 km/h. The speed of the stream is 1 km/h. How much distance in total will the boat cover going 3 hours downstream and 2 hours upstream?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e 106km
Let's assume the speed of the boat in still water is B km/h.
Given that the speed of the boat going downstream is 22 km/h and the speed of the stream is 1 km/h. Therefore,
B + 1 = 22
Solving the above equation, we get:
B = 21 km/h
The speed of the boat going upstream is:
B - 1 = 20 km/h
In 3 hours downstream, the boat will cover a distance of:
Distance = Speed × Time Distance = (B + 1) × 3 Distance = 22 × 3 Distance = 66 km
In 2 hours upstream, the boat will cover a distance of:
Distance = Speed × Time Distance = (B - 1) × 2 Distance = 20 × 2 Distance = 40 km
Total distance covered by the boat = Distance covered downstream + Distance covered upstream Total distance = 66 + 40 Total distance = 106 km
Therefore, the boat will cover a total distance of 106 km