Question
A train takes 7 seconds more to cross a 210-metre-long
platform than it takes to cross a pole. If a car running at the speed of 38 m/s takes 70 seconds to completely overtake the train, then find the length of the train.Solution
ATQ, The extra 7 seconds is taken by train to cross the platform, therefore Speed of the train = 210 ÷ 7 = 30 m/s So, relative speed of the car with respect to the train = 38 - 30 = 8 m/s (Since, both are travelling in same direction) Therefore, length of the train = 8 × 70 = 560 metres
A container has 40 liters of a mixture of milk and water, where the ratio of milk to water is 5:3. If 8 liters of the mixture is removed and replaced wi...
If 4 kg of metal of which 1/3rd is zinc and the rest is copper, be mixed with 5kg of metal, of which 1/6 is zinc and the rest is copper, then...
A jar contains a mixture of 2 liquids P and Q in the ratio 4:1. When 10 litres of the mixture is taken out and 10 litres of the liquid Q is poured into ...
600 ml of a mixture contains milk and water in the ratio of 14 respectively. If 90 ml of water and 100 ml of milk are added into it, then the ratio of m...
In a mixture of milk and water, the quantity of water is 50% more than the quantity of milk. If 16 liters of water is mixed into it, then the quantity o...
A 400 ml mixture consists of 30% alcohol. Find how much alcohol must be added so that alcohol makes up 50% of the new mixture.
Mixture ‘A’ contains 40% sugar in it while mixture ‘B’ contains 64% sugar in it. They are mixed together to get a 120 kg mixture that contains 4...
- A solution has milk and water in the proportion 3:2. After removing 20 ml of this solution and adding 10 ml milk, the ratio becomes 4:1. Find the total vol...
300 liters of oil was poured into a tank, which was still 40% empty. How much oil must be poured into the tank to fill it to the brim?Â
A 150 ml solution consists of alcohol and water in a ratio of 2:3. A portion of this mixture is removed, containing 18 ml of water, and then 6 ml of alc...