Question
Group ‘M’ comprises four even integers in order, and
group ‘N’ includes four successive odd integers. If the average of their first elements is 33.5, what is the sum of the last elements of both groups?Solution
ATQ,
Group M: {x, (x + 2), (x + 4), (x + 6)} Group N: {y, (y + 2), (y + 4), (y + 6)} Now, (x + y) ÷ 2 = 33.5 Or, x + y = 67 Required sum = x + 6 + y + 6 = 67 + 12 = 79
A boat covers a total distance of 48 km downstream and 48 km upstream in 5 hours. Given that the speed of the stream is 4 km/h, what is the distance the...
- A boat's speed in still water is 10 km/hr, and the current's speed is 3 km/hr. The boat takes a total of 15 hours to cover ‘x’ km each way (upstream an...
The speed of a boat in still water is 7 km/hr and the speed of the stream is 2.5 km/hr. A man rows to a place at a distance of 42.75 km and comes back t...
A boy can swim a certain distance downstream in 3 hours and return in 5 hours. If the rate of stream is 6 kmph then what is the speed of boy in still wa...
Time taken by boatman to travel a distance of (d + 60) km downstream and (d + 120) upstream is 10 hours and 20 hours respectively, and the downstream sp...
Two boats A and B start towards each other from two places, 600 km apart. Speed of the boat A and B in still water are 23 km/h and 17 km/h respectively....
Speed of current is 25% of speed of boat in still water, if boat travelled 45 km downstream and returned back in total 12 hr. then find speed of boat i...
A boat covers 144 km upstream and 192 km downstream in equal durations. If it takes 5 hours to travel 140 km in still water, determine the time the boat...
A, B and C started a business by investing in the ratio 1/5 : 1/4 : 2/6. After 6 months C withdrew 1/4 of his investment. If after 1 year from start of ...
A boat running downstream covers a distance of 45 km in 9 hrs and covering the same distance upstream in 15 hrs. What is the speed of a boat in still wa...
Relevant for Exams:
