Question
The maximum value of 45 sin θ + 28 cos θ
is:Solution
The maximum value of a sin θ + b cosθ = 
So the maximum value of 45 sin θ + 28 cosθ is = = 53
Distance between two stations is 1120 km. Train ‘A’ takes 6 hours more than train ‘B’ to cover this distance. If speed of train ‘B’ is 60 k...
A boat travels 600 metres against the stream in 20 seconds and returns the same distance with the stream in 15 seconds. Determine the speed of the boat ...
- Rohit jogs at a pace of 14 km/h and takes 11 hours for his fitness trail. What speed does he need to jog at to finish it in just 7 hours?
- Two individuals, S and T, travel from point C to point D at different speeds. S takes 4 hours to complete the journey, while T takes 6 hours. The differenc...
- A driver moving at half of his normal speed takes 45 minutes more than the typical time to reach his destination. Determine the typical time taken by him.
A coach sees an athlete 85 meters ahead on the track and begins running after him. The athlete is running at a speed of 19 m/sec, while the coach runs a...
A motor-cycle covers 125 km with a speed of 60 km/hr. find the speed of the motor-cycle for the next 125 km journey so that the average speed of the who...
Aman takes 36 minutes more than Sudhanshu to cover a distance of 130 km. If Aman doubles his speed, he takes 42 minutes less than Sudhanshu to cover the...
A school bus arrives at the school on time when it maintains an average speed of 50 km/h. However, if the bus travels at an average speed of 40 km/h, it...
Average speed of ‘A’ during a 24-hour journey is 40 km/h. If he covered the first 150 km of his journey at a speed of 25 km/h, then find the speed a...
