Question
The speed of the boat A and B in still water are in the
ratio 15:13. The speed of the current for both boats is 16 km/hr. If the sum of time taken by boat A in downstream to travel 184 km and time taken by boat B to travel 40 km in upstream is 8 hours. Find the sum of the speed of boat A in upstream and B in downstream.Solution
Let the speed of the boats ‘A and ‘B’ in still water be ‘15x’ km/hr and ‘13x’ km/hr, repectively Speed of boat ‘A’ in downstream = (15x+16) km/hr Speed of boat ‘B’ in upstream = (13x-16) km/hr According to the question, {184/((15x+16) )}+{40/((13x-16) )} = 8 [23/(15x+16)] + [5/(13x-16)] = 1 23(13x-16) + 5(15x+16) = (15x+16)(13x-16) 299x - 368 + 75x + 80 = 195x2 - 240x + 208x - 256 374x - 288 = 195x2 - 32x - 256 195x2 - 406x - 32 = 0 on solving we get value, x=2 Speed of the boat A and B in still water is 30km/hr and 26 km/hr . Speed of boat A in upstream = 30-16 = 14 km/hr Speed of the boat B in downstream = 26+16 = 42 km/hr Required sum = 14km/hr +42 km/hr = 56 km/hr.
Among the various countries that import Indian guar gum, which country holds the distinction of being the largest importer?
Which of the following is a technique for reclamation of saline sodic soils?
Dry bulb temperature is used for calculating
Which type of farming involves clearing tracts of land by burning, cultivating for a limited period, and then abandoning the land for a number of years?
Both stem and root nodulated Sesbania species is:
What was the contribution of the livestock sector to the agriculture and allied sector's Gross Value Added (GVA) in the fiscal year 2021-22?
What will be the most suitable word to be filled in blank “a” ?
Rotenone insecticides are derived from which part of the plant?
‘The law of limiting factors’ was proposed by
Which of the following can control of white rust in rapeseed and mustard crops?
Relevant for Exams:
