The speed of a boat in still water is 60 km/hr, while the speed of stream is 25 km/hr. The boat crosses the stream and lands on the opposite bank at a distance of 195 km from starting point. Find the width of the stream (in km).
Answers
Since the boat moves across the river, the resultant velocity of the boat is :
60² + 25² = 4225
Rv = √4225 = 65
= 65km/h
The speed = 65 km/h
The distance travelled = 195km.
Time = 195/65 = 3 hrs
Assuming the boat crossed straight across the river in still waters :
Speed = 60 km/h
Time = 3 hrs
Width of the river :
= 60 × 3 = 180km
= 180km
The speed of a boat in still water is 60 km/hr, while the speed of stream is 25 km/hr. The boat crosses the stream and lands on the opposite bank at a distance of 195 km from starting point. Find the width of the stream (in km).
Following are the steps which need to be followed to find out the width of the boat:-
Step 1: Take a look at the available values to look at the velocity of the river
speed of boat= 60 km/hr
speed of stream= 25 km/hr
Calculating these values:
(60)² + (25)²
3600+625
ans = 4225
Step 2: look at the formula for finding this out
Since the velocity of the river is = 4225
Next, look at RV= (underroot) of √4225
ans= 65km/h
Step 3: Furthermore
Speed = 65 km/h
Distance = 195 km.
Time = ?
Formula for time: distance/ speed
195/65
ans= 3 hrs
Step 4: look at the river which was still water
Speed = 60 km/h
Time founded = 3 hrs
Width of the river = speed X time
= 60 × 3 = 180
Ans = 180 km ( FINAL ANSWER)
I hope that i have been helpful.