Start learning 50% faster. Sign in now
According to the question, the motorboat takes 30 minutes more to go 24 km upstream than to cover the same distance downstream. Let, the speed of the water = x km/h So, 24/(20 - x) = 24/(20 + x) + (1/2) [∵ 30 minutes = 1/2 hour] ⇒ 24/(20 - x) - 24/(20 + x) = (1/2) => {24(20+x) - 24(20-x)}/(400 - x2) = 1/2 => 24(20+x-20+x)/400 - x2 = 1/2 => (24 x 2x)/400-x2 = 1/2 ⇒ 400 - x2 = 96x ⇒ x2 + 96x - 400 = 0 ⇒ x2 + 100x - 4x - 400 = 0 ⇒ x (x + 100) - 4 (x + 100) = 0 ⇒ (x + 100) (x - 4) = 0 ⇒ x + 100 = 0 ⇒ x = -100 ["-" is neglacted] ⇒ x - 4 = 0 ⇒ x = 4 ∴ The speed of the water = 4 km/h The speed of the motorboat in still water increased 2 km/h = 20 + 2 = 22 km/h The time for 39 km downstream and 30 km upstream = 39/(22 + 4) + 30/(22 - 4) hours = (39/26) + (30/18) hours = 3/2 + 5/3 hours = 19/6 hours = (19/6) × 60 minutes = 190 minutes = 3 hours 10 minutes
A fact not otherwise relevant becomes relevant under s.11 of the Indian Evidence Act, on the grounds of _________?
What is the tenure for which an additional director is appointed under the Companies Act?
The official document entitling the holder to a ration of food issued by the government of India is known as____________
Who shall constitute the Cyber Regulations Advisory Committee under section 88 of the Information Technology Act, 2000?
The Companies Act, 2013 was enacted on ____________
Which of the following language is not mentioned in Eighth Schedule of the Constitution of India?
In the case of Supreme Court Advocates on-Record Association and another Vs Union of India which of the following amendment to the constituti...
Which kind of hurt is not a grievous hurt?
Right to property is a ___?
Under Section 468 of the Code of Criminal Procedure. 1973- the period of limitation for taking cognizance in case of the offence is punishable with imp...