Question
How many seconds will a train 66 m in length, travelling
at the rate of 43 km an hour, take to pass another train 86 m long, proceeding in the same direction at the rate of 27 km an hour?Solution
Relative speed = 43 – 27 = 16 km/hr Speed (m/sec) = 16 × (5/18) = 40/9 m/sec Time = Total length of both the trains/Relative speed => Time = (86 + 66)/(40/9) = 34.2 sec
If the sum of the coefficients in the expansion of (a + b)n is 16384, then the greatest coefficient in the expansion is
The perimeter of a rectangular field is 34 metres and its area is 60 m2 . What is the length of the diagonal of this field?
If the sum of the coefficients of all even powers of x in the product (1 + x + x2 + … + x2n) (1 – x + x2 – x...
A certain number of books were distributed equally among a group of students in a class. Each student received a number of books equal to one-fifth of t...
Find the coefficient of x⁴ in (2x – 3/x)⁶.
Find both the maximum value and the minimum value respectively of 3a4 minus; 8a3 + 12a2 minus; 48a + 25 on the interval...
Relevant for Exams:
