Question
In 108 litres of a mixture (milk + water), ratio of
quantity of milk to that of water in a mixture is 5:4, respectively. (2x + 8.4) litres of milk and 27 litres of water is added to the mixture such that the quantity of milk in the resultant mixture is 20% more than that of water in it. Find the value of ‘x’.Solution
Initially, Quantity of milk in the mixture = 108 × (5/9) = 60 litres Quantity of water in the mixture = 108 – 60 = 48 litres According to the question, 1.20 × (48 + 27) = 60 + 2x + 8.4 => 90 = 68.4 + 2x => x = 10.8
A goods train leaves a station at a certain time and at a fixed speed. After 9 hours, an express train leaves the same station and moves in the same dir...
The ratio between the speeds of train J and K is 7:5 respectively. Train J which is (a+140) metre long can cross a pole in 24 seconds. If train K can cr...
Two trains ‘G’ and ‘H’ of equal lengths are running on parallel tracks at speeds of 30 m/s and 90 m/s, respectively. If they can cross each othe...
A freight train requires 17.6 seconds to pass a stationary person and 28 seconds to traverse a 260-meter-long tunnel. Simultaneously, a motorcycle can c...
Speed of a car is (v + 4) km/h, which is 9 km/h less than that of bike. Time taken by car to cover 108 km is 20% less than the time taken by bike to cov...
A train takes 18 seconds to cross a platform and 6 seconds to cross a pole. If the length of the train is 70 metres less than the length of the platform...
- A metro train moves at a speed of 40 m/s and takes 20 seconds to pass a traffic signal. Calculate the time required for the train to completely pass throug...
Train P measures 120 meters in length and moves at a speed of 5 meters per second, while Train Q is 90 meters long and travels at a speed of 10 meters p...
Train M, ‘x’ metres long crosses (x – 30) metres long platform in 20 seconds while train N having the length (x + 30) metres crosses the same plat...
Speed of two trains 'A' and 'B' is 22 m/s and ___ m/s respectively. Length of 'B' and 'A' is ___ metres and 330 metres, respectively. Time taken by the...
