Question
A man travelled a total distance of 250 km. He travelled
first 100 km on car with a speed of 20 km/h and rest of the distance on bike whose speed is 10 km/h less than that of the car. Find his average speed for the whole journey.Solution
Total time taken to cover the whole journey = 100/20 + 150/10 = 5 + 15 = 20 km Desired average speed = 250/20 = 12.5 km/h
A car travels 300 km at a speed of 60 km/h and another 200 km at a speed of 80 km/h. Find the approximate average speed of the car for the entire journey.
Solve:  ∫[(x4 – 2x3 + x2 – 2x)/(x-2)] dx
The mean and standard deviation of 6 observations are 10 and 3 respectively. If each observation is multiplied by 4 and then 5 is added to each result, ...
The following table shows the distribution of marks (out of 100) obtained by 60 students:
The weights (in kg) of 11 students are:
40, 45, 47, 50, 52, 52, 55, 55, 55, 60, 65
Find:
(a) the mean weight,
(b) the median weight,
A right square pyramid has a base of side 10 cm and slant height 13 cm.
(a) Find its lateral surface area.
(b) If its vertical height is 1...
The median of the following distribution is:
If a = 0.121212… (repeating) and b = √5, state whether each is rational or irrational.
If Seema had run at a speed of 14 km/hr instead of 7 km/hr, she would have covered 20 km more distance. What would have been the actual distance cover...
The following table shows the marks obtained by five students in three subjects:
Relevant for Exams:
