Fortuner, the latest SUV by Toyota Motors, consumes diesel at the rate of litres per km, when driven at the speed of x km per hour. If the cost of diesel is Rs 35 per litre and the driver is paid at the rate of Rs 125 per hour then find the approximate optimal speed (in km per hour) of Fortuner that will minimize the total cost of the round trip of 800kms?
Correct Answer : A
Given that 5x + 12y = 60 find the minimum value of ∫x2 + y2
Given that x, y, z < 0 and x + y + z = −4. Then xy + yz + zx has:
Three sprinters A, B and C had to sprint from points P to Q and backagain (starting in that order). The time interval between their staring timesof the three sprinters was 5 seconds each. Thus C started 10 seconds after A,while B started 5 seconds after A. The three sprinters passed a certain pointR, which is somewhere between P and Q, simultaneously (none of them havingreached Q yet). Having reached Q and reversed the direction, the thirdsprinter met the second one 9 m short of Q and met the first sprinter 15 mshort of Q. Find the speed of the first sprinter if the distance between PQ isequal to 55 m?