Question
A thief noticed a policeman at a distance of 600 metres.
The thief started running and the policeman chased him. The thief and policeman are running at speeds of 12 km/h and 15 km/h, respectively. Find the time (in minutes) required for the policeman to catch the thief.Solution
Convert speeds to m/s: Thief: 12 km/h =12 × (1000/3600) =10/3 m/s Policeman: 15 km/h = 15 × (1000/3600) = 25/6 m/s Relative speed: 25/6 – 10/3 = 5/6 m/s Time to catch thief: Time = Distance/Relative speed = 600/(5/6) = 720 seconds = 12 minutesÂ
In a 240-litre mixture of milk and water, the amount of milk is 50% more than the amount of water. How much milk should be added so that the ratio of mi...
In a mixture of milk and water, the quantity of milk is 40% more than the quantity of water. If 30% of mixture is taken out and (y-15) and (y+35) litres...
165 litres of Mixture ‘A’ (water + alcohol) contains 30% water and remaining alcohol while 119 litres of mixture ‘B’ (milk + water) contains 20 ...
The diluted wine contains only 8 liters of wine, and the rest is water. A new mixture whose concentration is 30%, is to be formed by replacing wine. How...
A 600 ml mixture contains milk and water in the ratio of 3:7, respectively. If ‘x’ ml of milk as well as the same amount of water is added to the mi...
- A container has a mixture of alcohol and water in the ratio 4:3. After removing 84 ml of the mixture and adding 168 ml of water, the quantity of water beco...
A mixture contains milk and water in the ratio 7:8, respectively. If half of the mixture is replaced with 8 litres of water, then the resultant mixture ...
A shopkeeper blends 10 kg of tea at Rs. 8 per kg with 5 kg of tea at Rs. 4 per kg. What is the cost price (in Rs.) of the mixture per kg?
In a container, the ratio of milk to water is 9:7. If 32 litres of water is added, the quantities of milk and water become equal. What is the total quan...
In a mixture of juice & water, 80 litres water is mixed due to which ratio changes from 3:4 to 1:3. Find initial quantity of mixture. (in lit...
Relevant for Exams:
