Question
A man is travelling at a speed of 30 km/h such that he
will take 70 minutes to reach his destination. But after completing half the journey, the man took a break of 25 minutes and then continued his journey. Find the speed at which the man must cover rest of the journey to reach his destination in original time.Solution
Total distance to be covered = 30 × (70/60) = 35 km Time taken to cover half the distance at original speed = {(35 ÷ 2) ÷ 30} × 60 = 35 minutes Time remaining = 70 – 35 – 25 = 10 minutes Required speed = 17.5 ÷ 10 × 60 = 105 km/h
In how ways can the selection be made so that a particular member is always included?
In how many different ways can the letter of the word CHESTNUT is arranged so that vowels always occur together?
If the letters of the Word SINHA are arranged in all possible ways and these words are written out as in Dictionary, then the rank of the word SINHA is
You have 4 distinct cubes and 2 distinct balls. Find the number of ways to arrange them such that all 4 cubes are not placed together.
There are 10 members in a delegation which is to be sent at SAARC summit. The total number of members is 18. In how many ways can the selection be made ...
In how many different ways can the letters of the word QUANTITY be arranged so that the vowels always come together?
Find total number of ways in which the word “COMMISSION” can be arranged.
In how many ways can the letters of the word ‘MEDICAL’ be rearranged so that the vowels never come together?
Find total number of ways in which the word “POSSESSION” can be arranged.
6 students appear in an examination. In how many ways can the result be announced?
