Question
A boat covers 180 km each in upstream and downstream in
a total time of 10 hours. It also takes 5 hours to travel 40 km upstream and 140 km downstream. How far will the boat travel in still water in 6 hours 20 minutes?Solution
ATQ,
Let speed of boat in upstream and downstream be ‘x’ km/h and ‘y’ km/h, respectively. So, 180/x + 180/y = 10…………..(1) And, 40/x + 140/y = 5……………….(2) Solving equation (1) and (2), we get x = 36 and y = 48 Speed of boat in still water = (36 + 48)/2 = 42 km/h 6 hour 20 minutes = 6 + 20/60 = 19/3 hours Desired distance = (19/3) × 42 = 266 km
When the digits, which are odd in the number ‘4586353485’ are decreased by 2 and the remaining digits are increased by 1, then what is the sum of 4t...
If all the consonants of the word “WAREHOUSE” are replaced by immediate preceding letter in the alphabetical series, how many vowels are there in th...
How many pairs of letters are there in the word ‘MESSAGES’ which has as many letters between them in English alphabetical series (both in forward an...
If the consonants of the following words are arranged first, followed by the vowels as per the English alphabetical order and then the consonants are c...
If ‘A’ means ‘divided by’, ‘B’ means ‘multiplied by’, ‘C’ means ‘added by’ and ‘D’ means ‘subtracted from’, then – ' 1...
How many such pairs of letters are there in the word CHAIRPERSON each of which has as many letters between them in the word as in the English alphabet? ...
All the letters of the word ‘MAGAZINE’ are arranged in alphabetical order from right to left. Then all the consonants are replaced with the previou...
How many such digits are there in the number 86732459 each of which is far away from the beginning of the number as when the digits are arranged in desc...
If all the letters in the word ‘APPLAUSE’ are arranged in alphabetical order from left to right such that the vowels are arranged first followed ...
If in the number 587683529, 5 is added to each of the digit which is less than four and 2 is subtracted from each of the digit which is greater than fou...
Relevant for Exams:
