Question
A mixture contains 60 liters of milk and water in the
ratio 3:2. How much water should be added to make the ratio of milk to water 3:4?Solution
Milk in the mixture = (3/5) × 60 = 36 liters. Water in the mixture = (2/5) × 60 = 24 liters. Let x liters of water be added. New quantity of water = 24 + x. New ratio = Milk : Water = 3:4. 36 / (24 + x) = 3 / 4. Cross-multiply: 4 × 36 = 3 × (24 + x) 144 = 72 + 3x 72 = 3x x = 24 liters.
A car rental service charges ₹500 for the first 100 kilometers and ₹8 for each additional kilometer. If a customer drives 150 kilometers in a day an...
A leopard is Chasing a deer that is positioned 12 km ahead. The leopard has a speed of 96 km/hr, while the deer's speed is 60 km/hr. If the leopard catc...
A man is travelling at a speed of 30 km/h such that he will take 70 minutes to reach his destination. But after completing half the journey, the man too...
A train is travelling at the rate of 45 km/hr. How many seconds it will take to cover a distance of 5/8 km?
A person travels between three towns as follows:
- From Town X to Town Y, he covers 120 km at 60 km/h.
- From Town Y to To...
Two trains X and Y start at the same time in the opposite direction from two points P and Q and arrive at their destinations 25 and 16 hours respectivel...
‘A’ and ‘B’ started moving towards each other at same time with a speed of 23 km/hr and 10 km/hr, respectively. If the di...
What is the length of the bridge which a man riding 35 km an hour can cross in 3 min.?
A person has to travel a distance of 30 km. He finds that he has covered 5/6 of the distance in 3 hours and 20 minutes. what is his speed in km/h?
The speed of a car is 25% more than that of a bike. Both of them start from a same point. After travelling for 5 hours, the speed of the bike is increas...
