A man can row a boat in still water at a speed of 8 km/h. He rows downstream for 1 hour and then returns upstream. If the total time taken for the entire journey is 2.5 hours, find the speed of the stream.
Let the speed of the stream be x km/h. Downstream speed: Speed of boat + speed of stream = 8 + x km/h Upstream speed: Speed of boat - speed of stream = 8 - x km/h Distance downstream: Since the man rows downstream for 1 hour, the distance downstream (d) is: d = Speed × Time = (8 + x) × 1 = 8 + x km Time taken upstream: Time = Distance / Speed = (8 + x) / (8 - x) hours According to the problem, the total time for the journey is 2.5 hours: Time downstream + Time upstream = 2.5 => 1 + (8 + x) / (8 - x) = 2.5 Subtracting 1 from both sides: (8 + x) / (8 - x) = 1.5 Now, cross-multiplying: 8 + x = 1.5(8 - x) 8 + x = 12 - 1.5x x + 1.5x = 12 - 8 2.5x = 4 x = 4 / 2.5 x = 1.6 km/h Correct Answer: a) 1.6 km/h.
Regarding the Godavari River, which statements are correct?
(I) Godavari is bounded by the Satmala Hills to the north.
(II) The river form...
A retail customer opens demat account with a Depository Participant (DP)
The National Health Policy 2017 aims at increasing the Government expenditure on public healthcare by 2025 to
Who among the following devised the policy ‘Doctrine of Lapse’?
Which island holds the title of being the largest in the world?
Which article of Indian constitution says that will be an election commission in India?
The National Energy Conservation Day is observed on
Which of the following is an example of an artificial ecosystem?
Who is to be taken over as the New Managing director of BPCL?
Based on the following clues, identify the festival:
(I) It is observed during the first month of the Hindu calendar, 'Chaitra'.
(II) ...