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Find his rowing speed in still water.A man rows 750 m in 675 seconds against the stream and returns in 7 1 minutes. 2
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- 3 kmph
- 4 kmph
- 5 kmph
- 6 kmph
- 3 kmph
Correct Option: C
Let the speed of man in still water be p kmph and rate of stream be q kmph
∴ Distance = | km = | km | ||
1000 | 4 |
Time = 675 seconds
Time = | = 11 | minutes | ||
60 | 4 |
∴ p - q = | ||||
4 | ||||
4 |
p - q = | = | km / min | ||
45 | 15 |
and p + q = | ||||
4 | ||||
2 |
p + q = | × | = | km/min | |||
4 | 15 | 10 |
∴ Speed in still water = | ![]() | + | ![]() | = | ![]() | ![]() | |||||
2 | 10 | 15 | 2 | 30 |
Speed in still water = | km/min | |
12 |
Speed in still water = | × 60 kmph = 5 kmph | |
12 |
Using the given formula :
Here, p = | ||||
min | ||||
2 |
p = | × | ||
1000 | 15 |
p = 6 km/hr
q = | |
675 min |
q = | × | = 4hrs | ||
1000 | 675 |
Speed of Boat = | (p + q) | |
2 |
Speed of Boat = | (6 + 4) = 5 km/hrs | |
2 |