Start learning 50% faster. Sign in now
Get Started with ixamBee
Start learning 50% faster. Sign in nowLet’s assume the speed of car is ‘8a’. The speed of a car is 60% more than the speed of a bus. 8a = (100+60)% of speed of a bus 160% of speed of a bus = 8a 1.6 x speed of a bus = 8a speed of a bus = 5a The speed of train is 2.4 times the difference between the speed of bus and car. speed of train = 2.4x(8a-5a) = 2.4x3a = 7.2a The train can cover (d-250) km distance in (t-3.5) hours. 7.2a = (d-250)/(t-3.5) a = (d-250)/7.2(t-3.5) Eq.(1) The car covers (d+140) km distance in (t-2) hours. 8a = (d+140)/(t-2) a = (d+140)/8(t-2) Eq.(2) The distance travelled by bus is 1500 km in which it will take (t+4) hours. 5a = 1500/(t+4) a = 300/(t+4) Eq.(3) So Eq.(1) = Eq.(2) (d-250)/7.2(t-3.5) = (d+140)/8(t-2) (d-250)/0.9(t-3.5) = (d+140)/(t-2) (d-250)/(0.9t-3.15) = (d+140)/(t-2) d = (376t−941)/(0.1t+1.15) Eq.(4) So Eq.(1) = Eq.(3) (d-250)/7.2(t-3.5) = 300/(t+4) (d-250)/(t-3.5) = 2160/(t+4) d = (2410t−6560)/(t+4) Eq.(5) So Eq.(4) = Eq.(5) (376t−941)/(0.1t+1.15) = (2410t−6560)/(t+4) After solving the above equation, t = 8, 3.5 But if t = 3.5, then the time taken by train to cover distance will be zero which is not possible. So t = 8 . Put the value of ‘t’ in Eq.(4). d = (376x8−941)/(0.1x8+1.15) = (3008−941)/(0.8+1.15) = 2067/1.95 = 1060 (i) The value of ‘t’ is an odd number. The above given statement is not true. Because the value of ‘t’ cannot be an odd number. (ii) The value of ‘d’ is a three digit number. The above given statement is not true. Because the value of ‘d’ is not a three digit number. (iii) The ratio between the distance travelled by bus and train is (6t+2) : (3t+3) respectively. distance travelled by bus and train = (6t+2) : (3t+3) = 5ax(t+4) : 7.2ax(t-3.5) Put the value of ‘t’ in the above equation. (6x8+2) : (3x8+3) = 5x(8+4) : 7.2x(8-3.5) (48+2) : (24+3) = 5x12 : 7.2x4.5 50 : 27 = 50 : 27 The above given statement is true. Because the above given expression is satisfied.
What is the rate of interest per annum ?
I. Difference between CI and SI for 2 years on an amount of Rs. 15,000 at the rate is Rs. 96.
II....
What is the speed of man in still water?
Statement I: The speed of man in still water is twice the speed of the stream.
Statement II: ...
What is the area of the circular Track?
Statement-I: The area of equilateral triangle that can be inscribed in circular Track is 48√3 m2
What is the principal amount?
Statement I: The Simple Interest obtained on the principal after 3 years at 10% rate of interest is Rs 580 less th...
If the length of the room is 10 m, then what is the height of the room?
I. The cost of painting the walls of the room at the rate of Rs. 25 per s...
What is the total profit earned by two partners, A and B, in a business?
Statement I: A and B started a business by investing Rs. 50,000 and Rs. ...
The current ages of 'Armaan' and 'Bhanu' are in the ratio 3:5. 'Chetna' is presently 8 years older than 'Armaan.' Determine the current age of 'Armaan.'...
If 'x', 'y' and 'z' are integers, then find whether (x + y - z) is positive or negative.
Statement I: (x+y)2 = 64 and (5 - z)2...
The current age ratio of Aman to Bheem is 5:6. What is Aman's current age?
Statement I: Bheem's age 18 years from now wi...
Find the rate percent?
I. The ratio of difference of C.I and S.I for 2 years and 3 years is 19:6.
II. The difference between C.I and S.I o...