Question
Train 'A' takes 19 seconds to cross a pole and 18.75 seconds to cross train 'B', which is 440 metre long and moving at the speed of 24 m/s towards train 'A'. Find the length of train 'A'.
Solution
Let the length of train 'A' = 'd' metresLet the speed of train 'A' = 'x' m/sAccording to the question,(d/x) = 19Or, d = 19xAlso, (d + 440) ÷ (x + 24) = 18.75Or, d + 440 = 18.75x + 450Or, d = 18.75x - 10So, 19x = 18.75x - 10So, x = 10 ÷ 0.25 = 40Therefore, length of train 'A' = 40 X 19 = 760 metres
More Arithmetic Problem Questions
- Which of the following will be the second last word when arranged according to the English Alphabetical Dictionary?
- A pipe can fill an empty cistern in 36(4/11) minutes when working alone. However, due to a leak, it takes 50 minutes to fill the same cistern. Find the tim...
- How many pairs of letters are there in the word “HELICOPTER” each of which have as many letters between them in the word as they have between them in the E...
- In an election between two candidates ‘A’ and ‘B’, the ratio of number of votes they got is 5:8, respectively. If ‘B’ wins the election by 4650 votes, then...
- 'A', 'B', and 'C' started a business with initial investments of Rs. 5,000, Rs. 8,000, and Rs. 9,000, respectively. The investment durations were 8 months ...
- Find the simplified value of the given expression:(1/4) of 19 x 12 - (2/5) of 135 + 42.5 x 8 - 142
- If x + 1/x = 2 then find x32 + 1/(x32)
- Roshan purchased 100 rolls of paper for Rs. 20 per roll. He spent Rs. 400 on their transportation. He also paid 20 paise per roll for packing of each roll....
- What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.) ...
- The sum and difference of the Least Common Multiple (L.C.M.) and Highest Common Factor (H.C.F.) of two numbers are 216 and 184, respectively. If one of the...
Relevant for Exams:
