How far from station Q will the two trains meet?
Consider the following for the next three (03) items that follow: Two trains A and B started from stations P and Q respectively towards each other. Train A started at 7 p.m. at a speed of 60 km/hr and train B started at 4 a.m. (next day) at a speed of 90 km/hr. The distance between the two stations P and Q is 800 km.
- A. 104 km
- B. 144 km
- C. 156 km ✓
- D. 504 km
Correct Answer: C. 156 km
Explanation
Train A travels for 9 hours (from 7 p.m. to 4 a.m.) before Train B even starts, covering 60 \times 9 = 540 km. This leaves a remaining gap of 800 - 540 = 260 km. They now travel towards each other with a relative speed of 60 + 90 = 150 km/hr. The time needed to meet is \frac{260}{150} = \frac{26}{15} hours. The distance from station Q is the distance Train B travels in this time, which is 90 \times \frac{26}{15} = 6 \times 26 = 156 km.
Related questions on Arithmetic
- What is the remainder when (17^{25} + 19^{25}) is divided by 18?
- A bottle contains spirit and water in the ratio 1:4 and another identical bottle contains spirit and water in the ratio 4:1. In what rat...
- Let P = 5^5 \times 15^{15} \times 25^{25} \times 35^{35} and Q = 10^{10} \times 20^{20} \times 30^{30} \times 40^{40}. What is the numbe...
- Two students X and Y appeared in a test. The score of X is 20 more than that of Y. If the score of X is 75% of the sum of the scores of X an...
- Question: The product of a natural number N and the number M written by the same digits of N in the reverse order is 252. What is the number...