Get Started with ixamBee
Start learning 50% faster. Sign in now
According to the question, Let the original speed of the train be ‘x’ km/h and the original time taken to reach the destination be ‘t’ hours. So, the distance between station ‘P’ and ‘Q’ = x × t = xt km So, xt/(x + 20) = t – 1..........................(1) And, xt/(x + 40) = t – 1 – 0.5 Or, xt/(x + 40) = t – 1.5........................(2) Dividing equation (1) by equation (2), we get (x + 40)/(x + 20) = (t – 1)/(t – 1.5) So, xt – 30 – 5x + 20t = xt + 20t – x – 20 Or, 20t – 5x = 10 Or, x = 4/5 × (20t – 10) Putting the value of ‘x’ in equation (1), we get 40t² – 80t = 40t² – 110t + 70 Or, t = 3 So, x = 4/5 × (60 – 10) = 40 Desired distance = 3 × 40 = 120 km
Length and breadth of a rectangular field is (x + 5) cm and (x – 4) cm, respectively. If the cost of ploughing the field at a rate of Rs. 7 per cm² i...
Ajay lists an item at 42% higher than its cost price and gives a 20% discount on this marked price. Determine the percentage of p...
In what ratio should Darjeeling Tea costing Rs. 500 per kg mixed with Assam Tea costing Rs. 350 per kg, so that by selling the mixture at Ra. 480 per ...
A trader mixes two types of rice varieties with a cost of Rs.68 and Rs.80. If he sells the mixture of Rs.88 at 25% profit, in what ratio he mixes two ty...
In what ratio rice at 47 Rs/kg should be mixed with the rice at 28 Rs/kg so that selling mixture at Rs 45 per kg gives the profit of 25% if the quantity...
A car travel 20km/h for 30 min and at x km/h for 45 min. If the average speed of the car for entire journey is 14 km/h find the value of x.
If 120 liters of milk solution contains 60% milk, how much milk should be added to make the solution 80% milk?
A shopkeeper has 76 kg rice a part of it, he sells at the profit of 48% and rest at loss of 28% and he get the loss of 16% so what is the quantity sold ...
In a Mixture, the ratio of Milk and Water is 7: 5. If 12 litre mixture drawn off and replace by 8 litre water then the ratio of Milk and Water become 1...
