Question
Train 'R' can cross a pole in 6 seconds and a 240 metres
long bridge in 10 seconds. Train 'S' whose length is 75% of the length of train 'R' runs in the same direction of train 'R'. If train 'S' crosses train 'R' in 14 seconds, then find the speed of train 'S'.Solution
Let the length and the speed of the train 'R' be 'x' metres and 's' m/s.
ATQ,
(x/s) = 6
So, 'x' = 6s.........(i)
Also, {(x + 240) Ă· s} = 10
Or, 6s + 240 = 10s [from equation (i)]
Or, 240 = (10s - 6s)
Or, 's' = (240/4) = 60
Length of train 'R' = (6 Ă— 60) = 360 metres
So, length of train 'S' = (360 Ă— 0.75) = 270 metres
Let the speed of train 'S' be 't' m/s.
ATQ,
(360 + 270) Ă· (t - 60) = 14
Or, 630 = 14 Ă— (t - 60)
Or, (t - 60) = 45
So, 't' = 45 + 60 = 105
Therefore, speed of train 'S' = 105 m/s
Under the new UPI initiatives, what does “UPI Reserve Pay” enable users to do?
Which Indian state became the first to come up with a gender budget which will clearly list out the expenditure on schemes meant for welfare of women?
Who won the Best Actor award at the 2025 International Emmy Awards?
Which of the following regulatory body has announced the creation of a Rs. 500-crore Payments Infrastructure Development Fund (PIDF)?
In which year was the World Bank established?
Who is the author of the book Confessions of a Shakespeare Addict released in July 2025?
Which National Park was recently named the second-largest butterfly diversity hub in India?
1st election for constituent assembly took place in?
Where was Coal India’s first fully women-operated dispensary inaugurated?
Which insurance company among the options has introduced a unique satellite index-based Farm Yield Insurance Policy?
