Question
A boat travels faster than the stream by 28 km/h. It
covers a distance of 112 km upstream and returns 132 km downstream, all within 7 hours. Calculate the speed of the boat in still water, expressing your answer in meters per second.Solution
Let speed of stream = ‘x’ km/h Speed of boat = (x + 28) km/h Upstream speed = x + 28 – x = 28 km/h Downstream speed = x + x + 28 = ‘2x + 28’ km/h According to question; 112/28 + 132/(2x + 28) = 7 Or, 132/(2x + 28) = 3 Or, 2x + 28 = 44 Or, x = 8 Seed of boat = 8 + 28 = 36 km/h = 36 × 5/18 = 10 m/s Hence, option d.
The cost price of article A and B is Rs. ‘X’ and Rs. (X + 550), respectively. Article A is sold at 20% profit while article B is sold at 10%...
A shopkeeper bought two articles for Rs. 200 each. If he sold one of them at 40% profit and the other at 25% loss, then find the difference between the ...
Mira bought a painting for Rs. '5x'. She spent Rs. 'x + 800' on restoration and sold it to Neil for Rs. '9x - 400'. Calculate 'x' if Mira made a profit ...
A purchased an article for Rs 3500. She sold the article at 12% profit. She then added Rs 500 to the amount received and purchased a purse such t...
A shopkeeper buys a product for Rs.1800. He increases the tag by x% and offers a discount of (x – 5)%. His profit is Rs.63. Find the marked price.
- A person purchased 240 books at Rs.75 each and marked 40% of these up by 40% and remaining by 60%. The books that are marked up by 40% are sold after allow...
Amit sold an electric-iron for ₹ 2,656 after giving a discount of 17% on the marked price. Had he not given the discount, he would have earned a profi...
A seller marked an article 50% above its cost price and sold it after allowing 20% discount. If he made a profit of Rs. 40, then find the difference bet...
Article 'Q' is sold at a profit of 20% which earns a profit of Rs. 400. If Article 'Q' is marked 50% above its cost price and then sold after offering t...
A costs twice as much as B. A is sold at a loss of 15% and B is sold at 5/4th of its price. If selling price of A is Rs. 1350 more than selling price of...
Relevant for Exams:
