Question
Traveling 500 km, a driver covers the first 40% at 70
kmph, the next quarter at 60 kmph, and the remaining distance at 50 kmph. What is the average speed?Solution
ATQ, Time for the first segment at 70 kmph = (500 × 0.40) / 70 = 2.86 hours Time for the second segment at 60 kmph = (500 × 0.25) / 60 = 2.08 hours Distance for the third segment = 500 - (500 × 0.40) - (500 × 0.25) = 500 - 200 - 125 = 175 km Time for the third segment at 50 kmph = 175 / 50 = 3.5 hours Average speed = 500 / (2.86 + 2.08 + 3.5) ≈ 58.14 kmph
There are five friends, P, Q, R, S and T. P says to Q, “If you give me Rs 300, you will have as many as I have at this moment. If S takes Rs 500 f...
A cuboidal box has dimensions of length = 18 cm, breadth = 15 cm, and height = 10 cm. If the breadth is increased by 20% and the height is decreased by ...
The average of x numbers is 24. If 60% of these numbers are reduced by 5 and the remaining 40% are increased by 10, what will be the new average of the ...
The difference between the interest earned from investing ₹P in simple interest at an annual rate of 25% and the interest earned from investing the sa...
Vinay invested Rs. 9,500 in scheme 'A' at a simple interest rate of 12% per annum and Rs. 8,000 in scheme 'B' at a simple interest rate of 20% per annum...
In a village with a population of 8,500 people, 80% of them are adults. Among these adults, only 75% possess a ration card. Furthermore, 60% of the rati...
Rakesh travels a certain distance with a constant speed of 24 km/h such that he reaches 2 hours late. If he travelled at constant speed of 30 km/h he wo...
Two pipes, A and B, can independently fill the tank in 24 minutes and 30 minutes respectively, while pipe C can empty 9 gallons from the tank in 3 minut...
Find the sum of first 25 even numbers.
A boat has a speed of 30 km/h in still water. In a particular stream, the boat's downstream speed is 50% faster than its speed upstream. What is the spe...
Relevant for Exams:
