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Let the upstream and downstream speed of boat be 'U' km/h and 'D' km/h respectively. ATQ: (140/D) + (80/U) = 4.5 --------- (I) And, (224/D) + (50/U) = 5.25 -------- (II) On solving, 5 X equation (I) - 8 X equation (II) , we get, 5 X [(140/D) + (80/U) ] - 8 X [(224/D) + (50/U) ] = 5 X 4.5 - 8 X 5.25 Or, (700/D) + (400/U) - (1,792/D) - (400/U) = 22.5 - 42 Or, (1,092/D) = 19.5 Or, 'D' = (1,092/19.5) = 56 On putting value of 'D' in equation (I) , We get, (140/56) + (80/U) = 4.5 Or, 2.5 + (80/U) = 4.5 Or, (80/U) = 2 So, 'U' = 40 Speed of boat in still water = (1/2) X (downstream speed + upstream speed) = (1/2) x (56 + 40) = (96/2) = 48 km/h Therefore, required distance = 48 X 2.4 = 115.2 km
She has a vivid imagination.
In the following questions, the descriptive sentence is aptly described by just one word. Select the choice which gives the meaning most appropriately....
Choose the one which best expresses the meaning of the given word .
Ingenuous
In the following questions four words are given in each question, out of which only one word is rightly spelt. Find the correctly spelt word.
Something no longer in use
INQUISITIVE
...Select the most appropriate synonym of the given word.
TIMID
Select the most appropriate antonym of the given word.
Slim
Indicative
Anthropologist