Question
A train travels 240 km at the speed of 60 km/h and the
remaining distance at 80 km/h. If the total time taken by the train to cover the entire distance is 6 hours, find the total distance travelled by the train.Solution
Let the total distance travelled be x km. Time taken to cover the first 240 km = 240 / 60 = 4 hours. Time taken to cover the remaining distance = (x - 240) / 80 hours. The total time taken is 4 hours, so: 4 + (x - 240) / 80 = 6, (x - 240) / 80 = 2, x = 160 + 240 = 400 km Total distance = 400 km.
A certain sum of money invested at R% p.a. fetches a compound interest (compounded annually) of 1525.5 and simple interest of Rs.1500 at the end of 2 ye...
Naina lent Rs. 9,800 to Mohini for 4 years and Rs. 8,800 to Mitali for 6 years on simple interest at the same rate of interest and received Rs. 11,040 i...
A person invested a sum of Rs. 9000 at r% per annum at simple interest and a sum of Rs. 13500 at (r-4)% at simple interest. If total interest earned on ...
A sum of money doubles itself in 5 years in how many years it will be 3 times?
What will be the ratio of simple interest earned by certain amount at the same rate of interest for 4 years and 6 years ?
Find the total amount returned by Manish to the bank at the end of three years, when Rs.24000 is borrowed at the rate of (25/2)% compounded annually?(ca...
Simica invested a certain amount of money at a simple interest rate of 12.5% per annum and earned Rs. 2,400 as interest over 3 years. If Tabu invested t...
A sum of money lent at 5% rate of simple interest. The difference between interest for 6 years and 4 years is Rs. 2000. Find the principal amount.
An initial principal sum of Rs. 8000, invested by Pranav, accrued interest at a compound rate of 20% annually for a period of 2 years. Subsequently, the...
If Rs. 15000 is invested at 14% per annum, compounded yearly, calculate the interest earned in one year.
