Question
The time taken by Boat 'X' to travel a distance of '2a'
km upstream is the same as the time it takes to travel '3a' km downstream. Similarly, the time taken by Boat 'Y' to cover '3b' km upstream equals the time to cover '5b' km downstream, and the time taken by Boat 'Z' to cover '5c' km upstream matches the time to cover '7c' km downstream. Quantity I: Boat 'X' travels 144 km downstream and then returns to the starting point in a total of 20 hours. Find the speed of Boat 'X' in still water. Quantity II: Boat 'Y' travels 150 km downstream and then returns to the starting point in a total of 16 hours. Determine the speed of Boat 'Y' in still water. Quantity III: Boat Z travels 140 km downstream and then returns to the starting point in a total of 12 hours. Calculate the speed of Boat 'Z' in still water. In the question, three quantities i.e. Quantity I, Quantity II and Quantity III are given. Solve the given quantities to establish the correct relation between them and choose the correct option.Solution
ATQ, For Boat X, Downstream Speed : Upstream Speed = 3a : 2a = 3 : 2 For Boat Y, Downstream Speed : Upstream Speed = 5b : 3b = 5 : 3 For Boat Z, Downstream Speed : Upstream Speed = 7c : 5c = 7 : 5 Quantity I, For Boat 'X', Downstream Speed = 3p km/hr Upstream Speed = 2p km/hr 144/3p + 144/2p = 20 48/p + 72/p = 20 120/p = 20 p = 6 Speed of Boat 'X' in still water = (3p + 2p)/2 = 5p/2 = 2.5 × 6 = 15 km/hr Quantity II, For Boat 'Y', Downstream Speed = 5q km/hr Upstream Speed = 3q km/hr 150/5q + 150/3q = 16 30/q + 50/q = 16 80/q = 16 q = 5 Speed of Boat 'Y' in still water = (5q + 3q)/2 = 8q/2 = 4 × 5 = 20 km/hr Quantity III, For Boat Z, Downstream Speed = 7r km/hr Upstream Speed = 5r km/hr 140/7r + 140/5r = 12 20/r + 28/r = 12 48/r = 12 r = 4 Speed of Boat Z in still water = (7r + 5r)/2 = 12r/2 = 6 × 4 = 24 km/hr Quantity I < Quantity II < Quantity III
TRIPS (Trade-Related Aspects of Intellectual Property Rights) agreement is administered by the _______ .
Innovators have a salient feature associated with them. It is
The bulk density of soil was 1.40 Mg/m3 and particle density was 2.70 Mg/m3. Calculate pore space in soil.
In the ATP-driven proton potassium exchange mechanism, the H+ ions are formed due to dissociation of
Which of the following type of mouth parts present in Cockroach & grasshopper?
Broadly speaking, there are ______ soil horizons in the world.
Total budgetary allocation for Swatch Bharat Mission 2.0 for the period 2021-26 is
Which of the following statements is/are true?
Statement A: Sand and silt materials transported by wind are called as loess and aeolian
...
Which crop is associated with the fungal disease known as "Karnal bunt," which is caused by the fungus Tilletia indica and results in the discoloration...
An amino acid induced during moisture stress condition and also known as stress indicator is
Relevant for Exams:
