Question
The lengths of trains 'P' and 'Q' are 180 metres and 120
metres respectively. Train 'P' crosses a platform 'Y' of 240 metres in 24 seconds. If 'P' and 'Q' cross each other while moving in opposite directions in 12 seconds, then find the time taken by 'Q' to cross the platform 'Y'.Solution
ATQ,
Let the speed of 'P' be 'x' m/sec So, total distance covered by 'P' while crossing the platform = (180 + 240) = 420 metres ATQ, 420 = x × 24 So, x = 17.5 m/sec Let the speed of 'Q' be 'y' m/sec Relative speed of 'P' with respect to 'Q' = (x + y) = (17.5 + y) m/sec Total distance = 180 + 120 = 300 metres ATQ, 300 = (17.5 + y) × 12 => 17.5 + y = 25 => y = 25 - 17.5 = 7.5 m/sec So, time taken by 'Q' to cross the platform = (120 + 240) ÷ 7.5 = 360 ÷ 7.5 = 48 seconds
- There are 1000 students in a school. The boys to girls ratio is 4:6. If 7 out of every 10 boys pass, and 6 out of every 9 girls pass, find the total number...
Solution A contains 10% acid and solution B contains 30% acid. In what ratio should solution A be mixed with Solution B to obtain a mixture with 25% acid?
Rs. 1080 was to be distributed between P, Q, and R in the ratio (1/4):(1/6):(1/3), but due to a mistake, it was distributed in the ratio 10:8:6. How muc...
- The coins of ₹1, 50 paise, and 10 paise are in the ratio 6:5:9 in a collection. If the total money is ₹376.60, find the number of 10-paise coins.
- Out of 1000 students in a school, the ratio of boys and girls is 4:6. If 3 out of every 4 boys pass and 2 out of every 5 girls pass, how many total student...
Two numbers are in the ratio 3 : 4. When 8 is subtracted from each, the ratio becomes 2 : 3. Find the greater number.
In a city of population 7200, the ratio of males to females is 11:7. If 400 females join the city, the ratio becomes 33:x. Find the value of (33 − x)....
A fruit seller sells apples at a profit of 20% and oranges at a loss of 10%. If the ratio of apples to oranges sold is 3:2 and the overall profit is rup...
A bag contains coins of ₹2, ₹1 and 50 paise in the ratio 4:6:8. If the total money in the bag is ₹576, how many 50-paise coins are there?
In a class of boys and girls, the number of girls is twice the number of boys. If 30 mere boys join the class, the ratio of girls and boys is 1: 1. How ...
Relevant for Exams:
