Free Daily Targets & Mocks
Study Material & Formulas PDFs
1 on 1 Mentorship
Question 122
The distance between two places A and B is 14 km.A boat travels from A to B downstream and then returns from B to A upstream and takes a total of 3 hours 44 minutes for the entire journey. If the speed of the current is 2 km/h, then what is the speed of the boat, in km/h, in still water?
Solution
Let speed of boat = $$x$$ km/hr and speed of current = 2 km/hr
According to ques,
=> $$\frac{14}{x-2}+\frac{14}{x+2}=3+\frac{44}{60}$$
=> $$14[\frac{2x}{(x-2)(x+2)}]=3+\frac{11}{15}$$
=> $$28\times(\frac{x}{x^2-4})=\frac{56}{15}$$
=> $$2x^2-15x-8=0$$
=> $$(x-8)(2x+1)=0$$
=> $$x=8,\frac{-1}{2}$$
$$\because$$ speed cannot be negative, => Speed of boat = $$8$$ km/hr
=> Ans - (A)
Video Solution
Create a FREE account and get:
- Free SSC Study Material - 18000 Questions
- 230+ SSC previous papers with solutions PDF
- 100+ SSC Online Tests for Free
