Question
A goods train and a passenger trains are running on
parallel tracks in the same direction.The driver of the goods train observes that the passenger train coming from behind overtakes and crosses his train completely in 50 seconds. Whereas a passenger on the passenger train marks that he crosses the goods train in 20 seconds. If the speed of the trains be in the ratio of 1:3, find the ratio of their lengths?Solution
Suppose the speeds of the two trains x m/sec and 3x m/sec respectively. Also, suppose that the lengths of the two trains are A m and B m respectively. Then, ((A+B)/(3x - x)) = 50    ……………….. (i) and (A/(3x - x)) = 20      ……………… (ii) Dividing (i) by (ii), we get ((A+B)/A) = 50/20 B/A + 1 = 5/2 B/A = 3/2 or A:B = 2:3
An 800 ml mixture consists of 60% milk. After adding ‘x’ ml of milk and ‘2x’ ml of honey, the milk-to-honey ratio changes to 9:10. Determine the...
There is a 165 litres mixture (soda + water), such that ratio of quantities of soda and water in it is 6:5, respectively. How much quantity of soda shou...
- Two mixtures, A and B, have milk-to-sugar ratios of 5:3 and 6:7, respectively. When these two mixtures are combined, the total quantity of the final mixtur...
In 80 litres of a mixture (milk + water), ratio of quantity of milk to that of water in a mixture is 5:3, respectively. (x + 4) litres of milk and 25 li...
A 480 ml mixture consists of milk and honey in a 5:7 ratio. If ‘p’ ml of both milk and honey is added to the mixture, the new ratio of milk to honey...
- The ratio of the milk to water in a mixture is 11:4. 45 litres of mixture is removed and 9 litres of water is added in the remaining mixture. If in the fin...
An alloy of artificial gold contains 83% Copper and remaining Aluminium. In an another alloy, Copper is 91% and Aluminium is 7%. In what ratio should th...
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...
In a blend of 183 liters consisting of juice and honey, the quantity of juice exceeds that of honey by 69 liters. When two-third of the mixture is subst...
Rice at Rs 80/kg is mixed with rice at Rs.40/ kg in a certain ratio such that by selling the mixture at Rs.60/ kg profit of 20% is made. If the quantity...
