J J Science Academy

1. An aeroplane is moving relative to air with a speed of $(24 m / s)$ towards north. If there is a wind blowing from west to east at a speed of $(7 m / s)$ with respect to earth, the velocity of the aeroplane with respect to the earth is
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(1) $(25 m / s)$ at $(\tan^{-1}(7 / 24))$ with north (2) $(25 m / s)$ at $(\tan^{-1}(7 / 24))$ with east (3) $(25 m / s)$ at $(\tan^{-1}(24 / 7))$ with north (4) $(25 m / s)$ at $(\tan^{-1}(24 / 7))$ with east
2. A boat moves with a speed of $(5 km / h)$ relative to water in a river flowing with a speed of $(3 km / h)$ and having a width of 1 km . The minimum time taken around a round trip is
(1) 5 min (2) 60 min (3) 20 min (4) 30 min