Question
The sum of the speeds of two boats A and B in still
water is 56 km/hr. such that the speed of boat A in still water is 25% less than that of boat B in still water. If the upstream speed of boat A is 88% less than the downstream speed of boat B, then find the speed of the current.Solution
Let the speed of boat B in still water be x km/hr. Therefore, the speed of boat A in still water =0.75x km/hr. According to the question, 0.75x + x = 70 Or, 1.75x = 70 Or x = 40 Therefore, the speed of boat B in still water = x =40 km/hr. Speed of boat A in still water = 0.75x = .75×40=30km/hr. Let the speed of the current be ‘y’ km/hr. Downstream speed of boat B = (40 + y) km/hr. Upstream speed of boat A = (30 – y) km/hr. 0.12(40 + y) = 30 – y Or, 4.8 + 0.12y = 30 – y Or, 0.12y + y = 30 – 4.8 1.12y =25.2 y=25.2/1.12=22.5 therefore, speed of the current =22.5km/hr.
Who is the author of the book “The Monk Who Became Chief Minister: The Definitive Biography Of Yogi Adityanath”?
Which campaign, celebrated "Jal Diwali," aimed to include women in water governance under the Atal Mission for Rejuvenation and Urban Transformation (AM...
Which player won the title of Chess World Cup 2023?
The 45th International Kolkata Book Fair will be held at Central Park Mela Ground in Salt Lake near Kolkata from February 28 to March 13. Which will be ...
Ronaldo has signed for Saudi club Al Nassr in deal worth about_____ ?
In which event did Emma McKeon win her final Olympic gold medal at Paris 2024?
Who is the first Indian swordsman to win a medal in the Asian Championships?
Recently Bindyarani Devi won silver medal in Birmingham commonwealth games, associated with which sport?
How many Bio-Input Resource Centres will be set up over the next 3 years to facilitate 1 crore farmers to adopt natural farming?
Warehousing Development Regulatory Authority (WDRA) has signed Memorandum of Understanding (MoU) with which bank to facilitate farmers and traders in pr...
Relevant for Exams:
