Question
The question consists of two statements numbered "I and
II" given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Find the time taken by 'K' and 'L' together to complete the work. 'L' is 28(4/7)% less efficient than 'K'. Statement I: For the same time, 5 times the work done by 'K' is equal to 7 times the work done by 'L'. Statement II: 'K' alone does (4x 2 + 18x + 3 2 - 6x) % of the total work in (2x + 3) 2 days.Solution
Let the efficiency of 'K' = 7x units/day
Then, efficiency of 'L' = 7x X (5/7) = 5x units/day
Statement I:
5 X work done by 'K' = 7 X work done by 'L'
Or, 5 X 7x = 7 X 5x
Or, 35x = 35x
So, data in statement I alone is not sufficient to answer the question.
Statement II:
Time taken by 'K' to complete the whole work alone:
= (2x + 3) 2 X {100 ÷ (4x 2 + 18x + 3 2 - 6x) }
= (2x + 3) 2 X {100 ÷ (4x 2 + 12x + 9) }
= (2x + 3) 2 X {100 ÷ (2x + 3) 2 } = 100 days
So, total work = 100 X 7x = 700x units
So, time taken by K and L together to complete the work:
= 700x ÷ (5x + 7x)
= 700x ÷ 12x = 58(1/3) days
So, data in statement II alone is sufficient to answer the question.
Find the total distance covered by boat in still water in 8 hours if the speed of boat in upstream and in downstream is 10 km/h and 15 km/h respectively?
A boat travels 36 km upstream and 48 km downstream in 8 hours. If the speed of the stream is 3 km/h and the boat’s speed in still water is 9 km/h, wha...
Two boats A and B start towards each other from two places, 600 km apart. Speed of the boat A and B in still water are 23 km/h and 17 km/h respectively....
Distance between a point of A and point B in a river is 32 km and the flow of the stream is from A to B. If the speed of the boat is 10 km/h and speed o...
A boat takes 1/12th time in moving a certain distance downstream than upstream. The ratio of the speed of the boat in still water and that of the curren...
A boat can travel 36 km downstream in 45 min. The ratio of the speed of the boat in still water to the speed of the stream is 5: 1. How much time will t...
The speed of boat 'X' in upstream is 18 km/hr and speed of boat 'Y' in downstream is 30 km/hr. If the difference between speeds of boat 'X' and 'Y' in s...
Speed of a boat in still water is 18 km/h while the speed of stream is ____ km/h. Total time taken by the boat to go 90 km upstream and 210 km downstrea...
A boat takes half time in moving a certain distance downstream than upstream. The ratio of the speed of the boat in still water and that of the current...
- A boat covers a distance of 270 km downstream in 6 hours. If the boat's speed in upstream direction is one-third of its downstream speed, calculate the tim...