Aptitude - Boats and Streams
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- Boats and Streams - Formulas
- Boats and Streams - General Questions
- Boats and Streams - Data Sufficiency 1
- Boats and Streams - Data Sufficiency 2
Speed downstream = (13 + 4) km/hr = 17 km/hr.
Time taken to travel 68 km downstream = | 68 | hrs = 4 hrs. | |
17 |
Man's rate in still water = (15 - 2.5) km/hr = 12.5 km/hr.
Man's rate against the current = (12.5 - 2.5) km/hr = 10 km/hr.
Let the man's rate upstream be x kmph and that downstream be y kmph.
Then, distance covered upstream in 8 hrs 48 min = Distance covered downstream in 4 hrs.
x x 8 | 4 | = (y x 4) | |||
5 |
44 | x =4y | |
5 |
y = | 11 | x. |
5 |
Required ratio = | y + x | : | y - x | ||||
2 | 2 |
= | 16x | x | 1 | : | 6x | x | 1 | ||||
5 | 2 | 5 | 2 |
= | 8 | : | 3 |
5 | 5 |
= 8 : 3.
Let the speed of the stream be x km/hr. Then,
Speed downstream = (15 + x) km/hr,
Speed upstream = (15 - x) km/hr.
30 | + | 30 | = 4 | 1 | |
(15 + x) | (15 - x) | 2 |
900 | = | 9 | |
225 - x^{2} | 2 |
9x^{2} = 225
x^{2} = 25
x = 5 km/hr.
Video Explanation: https://youtu.be/lMFnNB3YQOo