Question
A train crosses a man in 12 seconds and a platform 480
meters long in 36 seconds. Calculate the time (in seconds) it takes for the train to overtake a bike moving at 27 km/h in the same direction as the train.Solution
Let the speed of the train be x m/s, and the length of the train be y m. When it crosses a man Distance = speed × time taken Y = 12x Now when it crosses the platform (y+480) = 36x From these two equations Y = 240 m, and x = 20m/s Now when it crosses the bike Speed of bike = 27×5/18 = 15/2 m/s Now 240 = (20-15/2) × time Time = 240×2/25 Time = 19.2 s
- A certain sum doubles in 9 years at certain rate of simple interest. The same sum under the same interest rate will become 4 times of itself in how many ye...
Same amounts are invested in two schemes with 8% interest for 2 years, one scheme at S.I. and another scheme at CI. If he received Rs. 41875.2 after 2 ...
What is the interest earned when Rs. 5000 is invested for 2 years in a scheme which offers compound interest (compounded every 12 months) of 20% p.a.
Aman invested Rs. 'a' and Rs. (a + 2300) in SIP 'P' and 'Q', respectively, in a way that the amounts received from both SIPs after 2 years are equal. If...
An amount becomes eight times of itself in 56 years at simple interest. Find the value of (6R − 25).
A certain sum is invested at a simple interest rate of 10% per annum for a certain period. If the sum becomes five times the principal at the end of the...
The interest received on investing Rs. 8,000 for 5 years at simple interest of 'r%' p.a. is Rs. 8,000. Find the total amount received on investing Rs. 6...
"A person 'P' deposited Rs. ‘a’ in SIP 'A' and Rs. ‘b’ in SIP 'B'. He invested in SIP 'A' for 4 years at a simple interes...
What sum of money will become Rs.1352 in 2 years at 4 percent per annum compound interest?
If Rs. 12000 is invested at a simple interest at the rate of 5% p.a., Rs. 4800 is obtained as interest in certain years. In order to earn Rs. 6400 as i...
