Get Started with ixamBee
Start learning 50% faster. Sign in now
Let conveyor B lifts all the goods in X hours. Conveyor A lifts all goods in X +5 Conveyor C lifts all goods in X – 4 hours. So, conveyor B takes 1/x time to lift in 1 hour Conveyor A takes 1/(x+5) hours to lift in 1 hour Conveyor C takes 1/(x-4) hours to lift in 1 hour. Now, according to the question, to lift all goods, Conveyor A + Conveyor B = Conveyor C 1/(x+5) + 1/x = 1/(x-4) Take LCM on the left side (x+5+x)/x(x+5)= 1/(x-4) 2x+5/x²+5x = 1/(x-4) (2x+5) *(x-4) = x² + 5x 2x²-8x+5x-20 = x² + 5x x²-8x-20 =0 x² - 10x + 2x - 20 = 0 x(x-10) + 2(x-10) = 0 (x-10)*(x+2) = 0 So, x= 10, -2 But x cannot be negative here. So, X = 10 Hence Conveyor B takes X 10 hours. Conveyor A take X + 5 = 10 +5 15 hours Conveyor C takes X-4 hours 10-4 = 6 hours
A man bought an washing machine of Rs.15000 and spend Rs.2000 on its repairing and Rs.1000 for buying its new parts. After few days he vend it...
A shopkeeper bought 1200 units of a product at ₹25 per unit and sold them at ₹35 per unit. After selling 40% of the total units, he increased the se...
A man bought an article at 25% less of the marked price and sold it at 15% more than the marked price. Find the profit earned by him.
...After selling 15 chairs, a furniture shop earns a profit equivalent to the selling price of 3 tables. While selling 10 tables, the shop earns a profit e...
A bought a laptop for Rs.15000. He spent 15% of the amount that he had paid for buying it for its repair. He then sold the laptop to B and earned a prof...
A invested Rs X in a scheme. After 6 months, B joined with Rs 7500 more than that of A. After an year, ratio of profit of B to the total profit was 3: 7...
A shopkeeper marked an article Rs. 540 above its cost price and sold it after giving a discount of 25% and earned a profit of 35%. Find the cost price o...
The selling price of an item, when sold at a 35% profit, is Rs. 168 higher than its selling price when sold at a 5% loss. If the ...
