Question
The speeds of two trains, P and
Q, are in the ratio of 4:5. The length of train P is 300 meters. What is the speed of train Q? Statement I: Trains P and Q can cross each other in 20 seconds when they are moving in opposite directions. Statement II: Train P can cross a dog running in the opposite direction at a speed of 10 km/h in 20 seconds. The question consists of two statements numbered "l and II" given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.Solution
ATQ, Let the speed of trains ‘P’ and ‘Q’ be 4x km/hr and 5x km/hr, respectively Statement I: According to the question, Let the length of train ‘Q’ be ‘l’ metres (4x + 5x) × (5/18) = (300 + l)/20 Or, 100x = 600 + 2l So, data in statement I alone is not sufficient to answer the question. Statement II: (4x + 10) × (5/18) = 300/20 Or, 20x + 50 = 18 × 15 = 270 Or, 20x = 220 Or, x = 11 Therefore, speed of train ‘Q’ = 5x = 55 km/hr So, data in statement II alone is sufficient to answer the question. So, data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
Investor V placed Rs. (a + 3000) in a compound interest account with an annual interest rate of r%, compounded annually for a span of 2 years. Simultane...
Find the total amount returned by Manish to the bank at the end of three years, when Rs.24000 is borrowed at the rate of (25/2)% compounded annually?(ca...
- An amount of Rs. 4,000 was borrowed at 18% p.a. and another amount of Rs. 6,000 at 12% p.a. as simple interest. The total interest paid after ‘n’ years...
The time required for a sum of money to amount to five times itself at 16% simple interest p.a. will be
Rohit invested a certain amount at the rate of 6 p.c.p.a. and obtained a simple interest of Rs 8,730 at the end of 3 years. What amount of compound inte...
Suresh earned an interest of Rs. 1032 on principal amount of Rs. 3200 at some rate of compound interest in 2 years. How much more/less interest would he...
The difference between compound and simple interest on ₹10,000 for 2 years at r% p.a. is ₹49. Find r.
A sum of money becomes ₹12,000 in 2 years and ₹14,400 in 4 years at simple interest. What is the rate of interest per annum?
'K' distributed his investments among two distinct funds, Mutual Fund X and Mutual Fund Y, in the respective ratio of 9:8. While Mutual Fund X generates...
Akshay invested Rs. 1560 in two schemes P and Q in the respective ratio of 9:4. Scheme P and Q are offering simple interest at the rate of 10% per annum...
Relevant for Exams:
