Question
The boat's speed in still water
is 20% greater than the speed of the stream. If it takes the boat 4 hours more to travel 176 km downstream than it does to travel 8 km upstream, what is the time required for the boat to travel 264 km downstream and 16 km upstream?Solution
ATQ, Let the speed of the stream be 'a' km/hr Therefore, speed of the boat in still water = 1.20 × a = '1.2a' km/hr Downstream speed of the boat = 1.2a + a = '2.2a' km/hr Upstream speed of the boat = 1.2a - a = '0.2a' km/hr According to the question, (176/2.2a) - (8/0.2a) = 4 Or, (80/a) - (40/a) = 4 Or, 4a = 40 Or, 'a' = (40/4) = 10 Therefore, downstream speed of the boat = 2.2a = 2.2 × 10 = 22 km/hr Upstream speed of the boat = 0.2a = 0.2 × 10 = 2 km/hr Required time taken = (264/22) + (16/2) = 12 + 8 = 20 hours
Which of the following statements about the BSE market capitalization milestone is/are correct?
1. BSE's total market capitalization reached $5 t...
During the Vice President's visit to Sri Lanka, which international alliance did Sri Lanka agree to join?
Consider the following statements about ‘Warli painting’:Â
1.   Recently, an exhibition traces the artistic journey of the Mashe family ...
Who won the women’s 400m gold at the World Athletics Championships 2025?
Narendra Modi at the 18th G20 Leaders' Summit in New Delhi launched Global Biofuels Alliance (GBA), what is the specific goal for setting a global initi...
How many gig and delivery job opportunities will Zomato list annually under its MoU with the Ministry of Labour & Employment?
What is the name of India’s under-development manned submersible intended to reach depths up to 6,000 metres?
What was the theme of the BioE3@1 event organized at ICGEB, New Delhi?
What was the total team score of India’s junior team in air pistol at the 16th Asian Shooting Championships?
When was the first ASEAN Defence Ministers’ Meeting-Plus (ADMM-Plus) held?