Question
Train A is (35n - 30) metres long, and it is 200 metres
longer than Train B. Train A takes 20 seconds to pass a tree, while Train B takes 16 seconds for the same. The combined speed of both trains is (3n + 1) metres per second. Find the time Train B will take to cross a platform that is 275 metres long.Solution
Length of 'B' = 35n - 30 - 200 = (35n - 230) metres
Speed of 'A' = [(35n - 30) ÷ 20] m/s
Speed of 'B' = [(35n - 230) ÷ 16] m/s
(35n - 30)/20 + (35n - 230)/16 = 3n + 1
4 X (35n - 30) + 5 X (35n - 230) = (3n + 1) X 80
Or, 140n - 120 + 175n - 1150 = 240n + 80
Or, 75n = 1,350
Or, 'n' = 18
Length of 'B' = 600 - 200 = 400 metres
Speed of 'B' = (400/16) = 25 m/s
Required time = (400 + 275) ÷ 25 = 27 seconds
Which of the following is not an example of a material misstatement?Â
Who is the inventor of worldwide web?
The maiden Joint Military Exercise FRINJEX-23 between Indian Army and French Army was conducted in?
If the volume of a cuboidal tank is 1920 m3Â and the ratio of the length, width and height of tank is 8:6:5 respectively then find the height...
In a city, 80% population eat rice and 90% of the rice eaters are non- vegetarians. Then what percent of the population are vegetarian rice eaters?
If the ratio of speeds of 'A' and 'B' is 5: 6 and 'B' allows 'A' a start of 70 metres in a 1.2 km race, who will win the race and by what distance?
A rectangle has an area 30 cm 2 and perimeter 26 cm. its length (in cm) is
The country's first commercial-scale biomass-based hydrogen plant is coming up in which district of Madhya Pradesh?
The graduate students have discovered that they can address issues more effectively through letter writing campaignes and not through public demonst...
The difference between a discount of 40% and two successive discounts of 30% on a certain bill was ₹220. Find the amount of the bill (in ₹).
