Question
A train travels from station ‘P’ to station ‘Q’
at a constant speed. If its speed was increased by 20 km/h, it would have taken 1 hour less to cover the distance. It would have taken further 30 minutes less if the speed was further increased by 20 km/h. The distance between station ‘P’ and station ‘Q’ is:Solution
According to the question, Let the original speed of the train be ‘x’ km/h and the original time taken to reach the destination be ‘t’ hours. So, the distance between station ‘P’ and ‘Q’ = x × t = xt km So, xt/(x + 20) = t – 1..........................(1) And, xt/(x + 40) = t – 1 – 0.5 Or, xt/(x + 40) = t – 1.5........................(2) Dividing equation (1) by equation (2), we get (x + 40)/(x + 20) = (t – 1)/(t – 1.5) So, xt – 30 – 5x + 20t = xt + 20t – x – 20 Or, 20t – 5x = 10 Or, x = 4/5 × (20t – 10) Putting the value of ‘x’ in equation (1), we get 40t² – 80t = 40t² – 110t + 70 Or, t = 3 So, x = 4/5 × (60 – 10) = 40 Desired distance = 3 × 40 = 120 km
In which of the following cases it was held that the limitation act does not apply to quasi-judicial bodies?
Which of the following authorities is primarily responsible for the investigation of offences under PMLA?
As per SEBI (Prohibition of Insider Trading) Regulations, 2015, How does the definition of an insider treat a connected person?
Which of the following is considered a "document" according to the Bharatiya Sakshya Adhiniyam?
In a transfer of property where an interest therein is created in favour of a person to take effect only on the happening of a specified uncertain event...
Under the Right to Information (RTI) Act, 2005, who is the officer designated to provide information to citizens requesting it?
Section 3 of PMLA deals with which of the following?
Buyer as per the MSMED Act means_____________
What is the significance of Section 146?
The definition of movable property under IPC excludes______________________
