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 | ![]() |
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.
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x x 8 | 4 | ![]() |
= (y x 4) |
5 |
![]() |
44 | x =4y |
5 |
![]() |
11 | x. |
5 |
![]() |
![]() |
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.
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30 | + | 30 | = 4 | 1 |
(15 + x) | (15 - x) | 2 |
![]() |
900 | = | 9 |
225 - x2 | 2 |
9x2 = 225
x2 = 25
x = 5 km/hr.
Video Explanation: https://youtu.be/lMFnNB3YQOo