Question
Find the ratio between the speed of the boat and the
speed of the stream. The speed of the boat while travelling upstream is 24km/hr. The boat can travel P km in Q hours while travelling upstream and 144 km in Q hours while travelling downstream. The number of hours taken by the boat to travel 216km upstream is R hours more than that while travelling the same distance in downstream. I. The number of hours taken by the boat to cover (R x R) km distance in downstream is 18 hrs. II. P - Q3 + R3 > 102Solution
Given that, v – u = 24 -----(1) (v – u)Q = P-----(2) (v + u)Q = 144-----(3) 216/(v – u) – R = 216/(v +u)---------(4) From the above statement, we cannot ratio between the speed of the boat and the speed of the stream.
Statements:
Some P are Q
All Q are R
Some R are S
Conclusions:
I. Some R are not P
II. All R are P
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