Question
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 direction at a uniform speed of 176 km/hr, this train catches up the goods train in 7 hours. Find the speed of the goods train.Solution
Let the speed of the goods train be ‘s’ km/hr Distance covered by goods train in 16 hrs = s x 16 km Distance covered by express train in 7 hrs = 7 x 176 km Distance covered by goods train in 16 hrs = Distance covered by express train in 7 hrs So, 16s = 7 × 176 ⇒ 16s = 1232 ⇒ s = 1232/16 = 77 So, Speed of goods train = 77 km/hr
Salary of Karan is 80% more than that of Mohan. Karan saves 55% of his income, and Mohan saves 25%. If the difference in their expenses is Rs. 1,260, fi...
The monthly income of 'C' is Rs. 30,000 whereas the monthly income of 'D' is 50% more than that of 'C'. Find the difference between the savings of 'C' a...
In which of the following years, the difference in no. of students appearing for UIT from the previous year is highest?
- The incomes of Veer and Aryan are in the ratio 12:9. Veer saves 25% of his income. Aryan’s expenditure is 60% of Veer’s expenditure. If the difference ...
- Sanjay saves 40% of his monthly income. If his monthly income increases by 12% while his monthly savings remain the same, find the increase in his monthly ...
The monthly incomes of Rahul, Sanjay, and Vikram are in the ratio of 3:5:4, while their monthly expenditures are in the ratio of 6:5:7. Rahul earns Rs. ...
- X allocates his monthly income as follows: 10% for rent, 20% for groceries, and 25% for bills, while saving the remaining amount. If his savings amount to ...
The expenditure-to-savings ratio for Person 'A' is 5:4. If their income rises by 25% and their savings grow by 31.25%, what perce...
The income of 'Q' surpasses that of 'S' by a suffering 4000%. The expenses of 'Q' and 'S' are in a ratio of 125:12. 'Q' has savings that exceed those of...
Mahima’s expenditure and savings are in the ratio 5 : 3. Her income increases by 15%. Her expenditure also increases by 18%. By how many % does he sav...
