Question
If Pawan takes twice the time that Qureshi takes or three
times the time that Raju takes to finish a task, and all three working together can complete it in two days, how much time will Qureshi need to complete the task alone?Solution
ATQ;
Let time taken by Pawan alone to finish the work = 6x
Time taken by Qureshi alone to finish the work = 3x
Time taken by Raju alone to finish the work = 2x
Let total work = LCM of 6x, 3x, and 2x = 6x
Part of work done by Pawan, Qureshi, and Raju alone in 1 day is 1 unit, 2 units, and 3 units respectively.
Total time taken to finish the task by all the 3 persons together = 2
6x/(1 + 2 + 3) = 2
x = 2
Time taken by Q alone to finish the work = 3x = 6 days
Priya has joined Twitter and has 8 friends and each of these friends has 12 friends. Later, it is found that at least two of her friends know each othe...
- What is to be subtracted from (13/20) so that the result is (7/25)?
When a number is increased by 60% then the number obtained is 56 less than thrice the original number. Find the original number.
The sum of the exponents of the prime factors in the prime factorization of 225 is
Mohit purchased some toffees at a rate of Rs 20 for every 50 toffees. Additionally, he bought twice as many toffees at a price of Rs 1.50 per piece. He ...
Consider two natural numbers, 'a' and 'b', which are in the ratio of 17:20. If we increase 'a' by 18 and decrease 'b' by 20, the new ratio of 'a' to 'b'...
Determine the sum of the first 16 odd numbers.
Find the sum of all natural numbers less than 1,000 that are divisible by both 3 and 5 but not by 7.
- Find the sum of all two-digit numbers that are exactly divisible by 7.
Relevant for Exams:
