Boats and Streams

Important Formulas - Boats and Streams

1. Downstream

In water, the direction along the stream is called downstream.

2. Upstream

In water, the direction against the stream is called upstream.

3. Let the speed of a boat in still water be u km/hr and the speed of the stream be v km/hr, then

Speed downstream = (u + v) km/hr
Speed upstream = (u - v) km/hr.

4. Let the speed downstream be a km/hr and the speed upstream be b km/hr, then

Speed in still water $=\frac{1}{2}(a+b)$ km/hr
Rate of stream = $\frac{1}{2}(a-b)$ km/hr

Some more shortcut methods

5. Assume that a man can row at the speed of $x$ km/hr in still water and he rows the same distance up and down in a stream which flows at a rate of $y$ km/hr. Then his average speed throughout the journey

$=\frac{\text{Speed downstream × Speed upstream}}{\text{Speed in still water}}$ $=\frac{(x+y)(x-y)}{x}\text{km/hr}$

6. Let the speed of a man in still water be $x$ km/hr and the speed of a stream be $y$km/hr. If he takes $t$ hours more in upstream than to go downstream for the same distance, the distance

$=\frac{(x^2-y^2)t}{2y}\text{km}$

7. A man rows a certain distance downstream in $t_1$ hours and returns the same distance upstream in $t_2$ hours. If the speed of the stream is $y$ km/hr, then the speed of the man in still water

$=y\left(\frac{t_2+t_1}{t_2-t_1}\right)\text{km/hr}$

8. A man can row a boat in still water at $x$ km/hr in a stream flowing at $y$ km/hr. If it takes him $t$ hours to row a place and come back, then the distance between the two places

$=\frac{t(x^2-y^2)}{2x}\text{km}$

9. A man takes $n$ times as long to row upstream as to row downstream the river. If the speed of the man is $x$ km/hr and the speed of the stream is $y$ km/hr, then

$x=y\left(\frac{n+1}{n-1}\right)$

QUIZ-15

Q1. With which country, India has recently started a 14-day joint military training exercise in Himachal Pradesh?

Answer: Thailand

Q2. An international body which focuses on climate policies has ranked TERI among the top think tanks in the world. What does 'R' stands for in TERI?

Answer: Resources

Q3. Who is the present Director General of TERI?

Answer: Ajay Mathur

Q4. Name the Himachal Pradesh director general of police (DGP) who has been recently appointed as the new chief of the National Disaster Response Force (NDRF).

Answer: Sanjay Kumar

Q5. National Disaster Response Force (NDRF) is headquartered in _____________.

Answer: New Delhi

Q6. The Ministry of Power has recently launched an e-bidding portal for domestic coal-based IPPs. IPP stands for ______________.

Answer: Independent Power Producer

Q7. Pankaj Advani-led Indian team beat Pakistan to clinch Asian Snooker Championship 2017. The Championship was held in _____________.

Answer: Kyrgyzstan

Q8. A total of seven agreements were signed between India and Israel in sectors ranging from agriculture to water conservation. The Capital of Israel is ___________________. 

Answer: Jerusalem

Q9. China based Asian Infrastructure Investment Bank (AIIB) announced its approval to a $329 million loan to build access roads across 4,000 villages in _____________.

Answer: Gujarat

Q10. Trilateral Malabar naval exercise will start in this month (July) among which three countries?

Answer: India, America and Japan

Q11. Which lenders has tied up with PFG Forex for remittance facility for the benefit of Indian expatriates from Australia?

Answer: South Indian Bank

Q12. What is the Ranking of India in India out of 165 nations in a global Cybersecurity index that measures the commitment of nations across the world to Cybersecurity?

Answer: 23rd

Q13. The European Parliament overwhelmingly approved a first-ever cooperation deal between the European Union and which country?

Answer: Cuba

Q14. The European Parliament is headquartered in _____________.

Answer: Brussels, Belgium

Q15. Which country has topped global Cybersecurity index list?

Answer: Singapore

general awareness

Q1. The Sun temple is situated in the small town of Konark, which is located at ........... ?

(a) Puri, Odisha

(b) Deoghar, Jharkhand

(c) Nainital, Uttrakhand

(d) Mathura, Uttar Pradesh

Q2. Satpura National Park is located in the Hoshangabad district of which of the following state?

(a) Uttar Pradesh

(b) Andhra Pradesh

(c) Madhya Pradesh

(d) Arunachal Pradesh

Q3. International Cricket Council(ICC) Headquarters is at-

(a)Dubai,UAE

(b)Zurich,Switzerland

(c)Gland,Switzerland

(d)Sydney,Australia

Q4. Krishnarajasagar dam built across Kaveri River in which of the following state?

(a)Uttarakhand

(b)Arunachal Pradesh

(c)Tamil Nadu

(d)Karnataka

Q5. Which among the following is a folk dance of India?

(a)Garba

(b)Manipuri

(c)Mohiniattam

(d)Kathakali

Q6. "Long Walk to Freedom" is an autobiographical work published in 1995 is written by which world famous leader?

(a) Mahatama Gandhi

(b) Nelson Mandela

(c) Abraham Lincoln

(d) APJ Abdul Kalam Azad

Q7. Human Rights Day is celebrated annually across the world on?

(a) 24th October

(b) 10th December

(c) 21st June

(d) 22nd April

Q8. The National Sports Day of India is dedicated to the legendary hockey player Dhyan Chand on?

(a) 15th August

(b) 5th September

(c) 29th August

(d) 24th October

Q9. The Securities and Exchange Board of India (SEBI) is the regulator of the securities/capital market in India. It was established in the year?

(a) 1982

(b) 1988

(c) 1992

(d) 1990

Q10. The United Nations World Tourism Organization (UNWTO) is the United Nations agency responsible for the promotion of responsible, sustainable and universally accessible tourism. The Headquaters of UNWTO is situated at?

(a) London, United Kingdom

(b) Vienna, Austria

(c) Madrid, Spain

(d) Geneva, Switzerland

Q11. The McMahon Line is a line agreed to by Britain and Tibet as part of the Simla Accord, a treaty signed in 1914. It is the effective boundary between which country?

(a) Pakistan and China

(b) India and Pakistan

(c) India and China

(d) Nepal and China

Q12. The Idukki Dam is a double curvature arch dam constructed across the Periyar River in a narrow gorge between two granite hills Kuravan and Kurathi in which of the following state?

(a) Karnataka

(b) Tamil Nadu

(c) Kerala

(d) Uttarakhand

Q13. Who is the present chairman of State Bank of India and also the first woman to be appointed to the top job at the country's largest lender?

(a) Chanda Kochhar

(b) Shikha Sharma

(c) Arundhati Bhattacharya

(d) Usha Ananthasubramanian

Q14. Meenakshi Amman Temple is a historic Hindu temple located on the southern bank of the Vaigai River in the temple city of?

(a) Visakhapatnam, Andhra Pradesh

(b) Madurai, Tamil Nadu

(c) Thiruvananthapuram, Kerala

(d) Kolkata, West Bengal

Q15. UN cultural agency recently added Qanat of Iran in it's World Heritage List. What is Qanat?

(a) Water tunnel

(b) Sewerage system

(c) Carriage Transportation system

(d) Artificial Island

Solutions

S1.Ans.(a)

Sol.  Konark Sun Temple is a 13th-century CE Sun Temple at Konark in Odisha, India. 

S2.Ans.(c)

Sol. Satpura National Park is located in the district of Madhya Pradesh in India.

S3.Ans.(a)

Sol. The International Cricket Council (ICC) is the international governing body of cricket. It was founded as the Imperial Cricket Conference in 1909 by representatives from England, Australia and South Africa, renamed the International Cricket Conference in 1965, and took up its current name in 1989.

S4.Ans.(d)

Sol. Krishnarajasagar dam built across Kaveri River near Mysore in Karnataka. It is one of the principal and largest dam built on the river Kaveri in Karnatakain, South India. The Kaveri is one of the major river in India and there is a Famous and beautiful Brindavan Gardens attached to the dam, its a part of the Krishna Raja Sagar Dam and is the most beautiful gardens in Mysore and one of best Garden in India.

S5.Ans.(a)

Sol. Folk dances are performed on religious , seasonal festivals or entertainment. Some of the popular folk dances that are performed across villages and cities are Bhangra, Garba, Kalbelia and Bihu etc.

While  Manipuri, Mohiniattam, Kathakali and Bharatnatyam are Classical dance forms of various states of India.

S6. Ans.(b)

Sol.  Long Walk to Freedom is an autobiographical work written by South African President Nelson Mandela, and published in 1995 by Little Brown & Co. The book profiles his early life, coming of age, education and 27 years in prison.

S7. Ans.(b) 

Sol. Human Rights Day is observed every year on 10 December. It commemorates the day on which, in 1948, the United Nations General Assembly adopted the Universal Declaration of Human Rights. 

S8. Ans.(c)

Sol. August 29 is celebrated as the National Sports Day in dedication to the great hockey player Dhyan Chand. August 29, 1905 was the day when India’s talented hockey player was born in Allahabad, Uttar Pradesh.

S9. Ans.(b)

Sol. Securities and Exchange Board of India (SEBI) was first established in the year 1988 as a non-statutory body for regulating the securities market. It became an autonomous body by The Government of India on 12 April 1992 and given statutory powers in 1992 with SEBI Act 1992 being passed by the Indian Parliament.

S10. Ans.(c)

Sol. Madrid, Spain

S11. Ans.(c)

Sol.  The McMahon Line is the effective boundary between China and India

S12. Ans.(c)

Sol.  The Idukki Dam is a double curvature arch dam constructed across the Periyar River in a narrow gorge between two granite hills Kuravan and Kurathi in Kerala, India. At 167.68 metres, it is one of the highest arch dams in Asia.

S13. Ans.(c)

Sol. Arundhati Bhattacharya, who took over as the new chairperson of the State Bank of India (SBI) Monday, is the first woman to be appointed to the top job at the country's largest lender. 

S14. Ans.(b)

Sol. Meenakshi Amman Temple is a historic Hindu temple located on the southern bank of the Vaigai River in the temple city of Madurai, Tamil Nadu, India.

S15. Ans.(a)

Sol.  In Iran, agricultural and permanent settlements are supported by the ancient qanat system of tapping alluvial aquifers at the heads of valleys and conducting the water along underground tunnels by gravity, often over many kilometres.