Question
Speed of a car is 150% more than that of a bus. Find the
distance traveled by the bus in 6 hours 30 minutes if the time taken by the car to cover 960 km is 8 hours.Solution
ATQ, Time taken by the car to travel 960 km = 8 hours Speed of car = 960/8 = 120 km/h Speed of bus = 120/2.5 = 48 km/h Time taken by the bus = 6 hours + (30/60) hours = 6.5 hours Desired distance = 48 × 6.5 = 312 km
If a + b = 56 and (a – b)² = 496, find the value of the product of a and b.
In △ ABC, AB = AC. A circle drawn through B touches AC at D and intersect AB at P. If D is the midpoint of AC and AP = 2.5 cm, then AB is equal to:
1/3 + 1/15 + 1/35 + 1/63 + 1/99 = ?
If [8(x + y)3 – 27(x – y)3] ÷ (5y – x) = Ax2 + Bxy + Cy2, then the value of (A2 - 2B + 3C)...
A company’s expenditure on three departments over four years is as follows (in thousands):
If 10x2 – 6xy+y² – 4x+4= 0, then find the value of (3x+2y).
Find the 36th term of the series 25, 29, 33……
If √e + (1/√e) = 10, then find the value of e + (1/e).
- If n = 5 + √6, then find the value of (n + 1/n)².
- If (u + v) = 11 and uv = 24, then find the value of (u² + v²).
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