Question
A bus travels point P at 6:30 am and reaches point Q at
11:30 am. Another train leaves point Q at 8:30 am and reaches point P at 11 am. At what time would the two buses meet?Solution
Let the distance be D km Speed of the 1st bus = D/5 km/hr Speed of the 2nd bus = (2 D)/5 km/hr Speed of 2nd bus = 2 × speed of 1st bus ∴ Distance travelled by 1st bus till 8:30 am = 2 × D/5 = (2 D)/5 Now, Distance between buses = D - (2 D)/5 = (3 D)/5 km Time taken = ((3 D)/5)/( D/5 + (2 D)/5 ) = 1 hour ∴ 8:30 am + 1 hour = 9:30 am
The compound interest received on investing Rs. 10,000 for 2 years at 'y'% p.a., compounded annually is Rs. 3,689. The simple interest earned on investi...
A certain sum when invested for 3 years in a scheme offering simple interest of 16% p.a. gives an interest of Rs. 1128. What is 160% of the sum invested?
What will be the amount if a sum of Rs. 6500 is placed at compound interest for 3 years while the rate of interest for the first, second and third years...
A total amount of Rs.39,800 is split among three siblings named 'Ajay', 'Bijay', and 'Chetna'. 'Ajay' receives an amount that is in the ratio of 7:8 com...
Rohit made an investment that yielded a simple interest rate of r% per annum, allowing the principal to grow to 180% of its original amount in 5 years. ...
- Rohit invests Rs. 7,500 on compound interest at 10% p.a. (compounded annually) for 2 years and Rs. 6,400 on simple interest at 12% p.a. for 4 years. Find t...
Simple interest and compound interest (compounded annually) earned on a sum at the end of 2 years at a certain rate of interest p.a. are Rs. 2560 and Rs...
At what % of simple interest per annum will Rs. 320 amount to Rs. 480 in five years?
A certain amount earns simple interest of Rs. 1520 after 5 years. Had the interest been 6% more, how much more interest would it have earned?
Rs. 7000 is invested in scheme ‘A’ for 2 years and Rs. 5000 is invested in scheme ‘B’ for 2 years. Scheme ‘A’ offers simple interest of 15% ...
Relevant for Exams:
