(X+Y) together can complete 5/6th of a task in 24 days and (Y+Z) together can complete 3/4th of same task in 20 days. If for first 27 days X worked alone, then for next 28 days Y worked alone and remaining task was completed by Z in 2.5 days. Find in how many days Y alone will complete the task? A
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Answer:
sentences with the adjective forms of the words in the emotion allergy education create passion alphabet enjoy information 7. The creative minds of the group came up with this innovative design 2. Lubaina is to all kinds of nuts and mushrooms. 3. The train ride was a lot more than I was expecting it to be. 4. After an farewell, Kamal and Murtaza left for CanadaState whether the following statements are True or False: (a) The sum of three odd numbers is even (b) The sum of two odd numbers and one even number is even. (c) The product of three odd numbers is odd. (d) If an even number is divided by 2, the quotient is always odd. (e) All prime numbers are odd. (1) Prime numbers do not have any factors. (g) Sum of two prime numbers is always even. (h) 2 is the only even prime number. All even numbers are composite numbers. Yo (The product of two even numbers is always even. The numbers 13 and 31 are prime numbers. Both these numbers have same digits 1 and 3. Find such pairs of prime numbers upto 100. Write down separately the prime and composite numbers less than 20. What is the greatest prime number between 1 and 10? Express the following as the sum of two odd primes. (a) 44 (b) 36 (C) 24 (d) 18 Give three pairs of prime numbers whose difference is 2. Remark: Two prime numbers whose difference is 2 are called twin primes]. -? Which of the following numbers are prime? a) 23 (b) 51 (c) 37 (d) 26 Write seven consecutive composite numbers less than 100 so that there is no prime number between them. her
Answer:
5/6 th of work completed by (X+Y) in 24 days
Therefore days taken by X+Y to complete whole work= 24*6/5= 144/5 days
3/4 th of work completed by Y+Z in 20 days
Therefore days taken by Y+Z to complete whole work = 20*4/3= 80/3 days
x+Y = 144/5 = 25 units
Y+Z = 80/3 = 27 units
Total work = 720 units
Let take Y's efficiency be a
Therefore,
X's efficiency = 25-a
Z's efficiency = 27-a
27X + 28Y + 2.5Z = 720
27(25-a) + 28(a) + 2.5(27-a) = 720
742.5 + a - 2.5a= 720
a=15
Therefore,
X's efficiency = 10
Y's efficiency = 15
Z's efficiency = 12
Ans: days taken by Y to complete whole work= 720/15 = 48 days
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