Question
Determine the speed of a Ship in calm water, given that
the Ship's speed downstream is 20% greater than its speed in still water. If the Ship can cover 48 km both upstream and downstream in a total of 5 hours, what is the speed of the Ship in still water?Solution
ATQ, Let speed of Ship in still water is ‘5a’ km/h Speed of Ship in downstream = 1.20 × 5a = 6a Speed of stream = 6a – 5a = a km/h Speed of Ship in upstream = 5a – a = 4a km/h So, (48/6a) + (48/4a) = 5 Or, (8/a) + (12/a) = 5 Or, a = (8 + 12)/5 = 4 Speed of Ship in still water = 5 × 4 = 20 km/hr
- A certain sum of money amounts to ₹3360 at a rate of R% per annum under simple interest after 5 years, and to ₹3480 at a rate of 15% per annum under si...
A woman invested a certain amount in scheme 'A' at simple interest of 18% p.a. for 4 years. She then reinvested the total amount received in scheme 'B' ...
Find the rate of simple interest at which Rs. 6000 should be invested for 2 years so that the interest earned will be same as the interest received when...
A certain sum of money will be doubled in 4 years at the rate of simple interest percent per annum is:
A sum of Rs. 30,000 is invested in SIP 'C' which offers 12% p.a. simple interest for 3 years. The interest received from SIP 'C' is invested in SIP 'D' ...
The interest earned on investing Rs. 9000 for 2 years at the rate of 10% p.a., compounded annually, is used to purchase an article. If the article is la...
'P' invested Rs. 2,00,000 at compound interest of ___% p.a., compounded once every 4 months. If he kept the amount invested for 12 months, then interest...
The difference between the interests received when Rs. x is invested in scheme ‘A’ at simple interest for 3 years and at compound interest, compound...
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% ...
Find the compound Interest on Rs. 8,000 @15 % p.a for 2 years 4 month Compounded annually?
Relevant for Exams:
