Question
A motorboat moves downstream at 56 km/h. After
completing half of the route, the stream’s speed rises by 25%. Because of this, the boat reaches 20 minutes earlier than the usual time. If the total distance is 560 km, find the original speed of the stream.Solution
ATQ,
Let the speed of the stream be ‘x’ km/h. Original time for the whole journey = 560/56 = 10 hours So, time taken to cover the first half = 10 ÷ 2 = 5 hours New total time (because of early arrival) = 10 hours − 20 minutes = 9 hours 40 minutes = 9.666… hours So, time taken for the second half now = 9.666… − 5 = 4.666… hours (i.e., 4 hours 40 minutes) So, speed in the second half = 280 / 4.666… = 60 km/h Net change in speed = 60 − 56 = 4 km/h Increase due to stream = 1.25x − x = 0.25x So, 0.25x = 4 ⇒ x = 16 Therefore, the original speed of the stream = 16 km/h
The Doctrine of ‘Res Gestae’ has been incorporated in which of the following Section of the Evidence Act?
Every suit instituted, appeal preferred, and application made after the prescribed period shall be dismissed-
According to Section 31 of the Code on Wages, 2019, what percentage of the available surplus is allocated for bonus in the case of a banking company?
What powers does the Supreme Court have concerning the enforcement of rights conferred by Part III of the Constitution?
What does trademark protect?
Who among the following can exercise the right of 'Stoppage in Transit' of goods under the Sales of Goods Act, 1930?
Who can the High Court appoint to exercise jurisdiction in a Court of Session?
Section 53 of the Companies Act, 2013 does not allow issue of shares at a discount. Which of the following category of shares can be issued at a discoun...
Which of the following language is not mentioned in Eighth Schedule of the Constitution of India?
The corporate insolvency resolution process shall be completed _______________ from the date of admission of the application to initiate such process
