A train started from station P and preceded towards station Q at a speed of 98 km/h. 30 minutes later, another train started from station Q and preceded towards station P at 100 km/h. If the distance between the two stations is 643 km, at what distance from station P will the trains meet?
Let the train will meet ‘t’ hours after the train from station Q started Distance travelled by train started from station P = 98 x 30/60 km Distance travelled by train started from station Q = (98 + 100) x t km Total distance between station P and Q = 643 km Now, 98 x (30/60) + (98 + 100) x t = 643 ⇒ 49 + 198t = 643 ⇒ 198t = 643 – 49 = 594 ⇒ t = 594/198 = 3 hours Distance travelled by train starting from station P at all meeting point = 49 + 98 x 3 = 343 km
A sum of money C is Rs. 8000 more than B, B and C are invested at 10% p.a and 12.5% p.a, S.I for two years and the difference between the interest obtai...
Mr. P invested Rs. ‘2x’ in scheme ‘A’ offering simple interest of 20% p.a. and reinvested the interest earned from scheme ‘A’ at the end of ...
Santosh invested Rs.9000 in a scheme for 6 years which is offering 15% simple interest. The amount received after 6 years from scheme B has been investe...
The simple interest on a certain sum of money for 4 years at 16% per annum is 2/5th of the compound interest on Rs. 6000 for 2 years at 20% p...
The difference between compound interest and simple interest at rate of 28% per annum for 2 years is Rs. 392. Find the simple interest obtained on same ...
The difference between the compound interest, compounded annually and simple interest on Rs. ‘P’ at the rate of 25% p.a. for 2 years, is Rs. 150. If...
A farmer wants to divide Rs 2,81,800 between his sons , who are 17 and 19 years old respectively, in such a way that the sum divided at the rate of 12% ...
Vishal has certain sum of money with him. He invested 80% of the sum in scheme ‘X’ offering 15% p.a. simple interest for 8 years and received Rs. 32...
When the interest accrued on a certain principal amount over four years is 4/9 times the interest earned on the same principal amount after another four...
Rs. 5500 is invested in scheme ‘A’ for 3 years and Rs. 4000 is invested in scheme ‘B’ for 2 years. Scheme ‘A’ offers simple interest of 16% ...
