Question
A tap of type '5P' can completely
fill a tank in 'P/2' hours, whereas a tap of type '2Q' can fill the same tank in '4Q/5' hours. Quantity I: The sum of 'Q + 10'. Quantity II: The value of '2.75P'. In the question, two Quantity I and Quantity II are given. You have to solve both the Quantities to establish the correct relation between Quantity I and Quantity II.Solution
ATQ,
Let the total work be = 5P × P/2 = 2Q × 4Q/5 (P/Q)2 = (4/5)2 P/Q = 4/5 P = 4a, Q = 5a Q + 10 = 5a + 10 - Quantity I 2.75P = 2.75 × 4a = 11a - Quantity II a = 1 Quantity I = 5 × 1 + 10 = 15, Quantity II = 11 × 1 = 11, Quantity I > Quantity II a = 2, Quantity I = 5 × 2 + 10 = 20, Quantity II = 11 × 2 = 22, Quantity I < Quantity II Hence, Quantity I = Quantity II or No relation
If a group of 12 boys and 18 girls together can complete a task in 24 days, and a team of 6 girls alone can finish the same task in 96 days, how long wi...
- 4 men earn Rs. 960 altogether for working 8 days. If a woman earns Rs. 4 more than each man per day, what will be the total earnings of 10 women in 5 days?
Anuj can complete a certain piece of work in 25 days by taking rest for 9 hours daily. If he rests twice as much as before and also works twice as fast...
18 men, working 8 hours a day, can complete a task in 21 days. If a woman is 33(1/3)% less efficient than a man, how much time will it take for 24 women...
‘A’ alone can complete a work in 40 days while ‘A’ and ‘B’ together can complete the same work in 20 days. How much ...
- Pipes X and Y can fill a water tank individually in 24 minutes and 36 minutes, respectively. A third pipe Z can empty the tank in 72 minutes. If all three ...
A can complete a work in 15 days. B takes 5 days less than A to complete the same work. In how many days can both of them together complete 60% of the w...
A and B can finish a task together in '2t' days. B alone can complete the task in 10 days, while A alone can do it in '5t' days. Find the value of 't'.
Arjun is 50% less efficient than the combined efficiency of Bheem and Cherry. If Bheem can complete a task in 12 days and Cherry in 20 days, determine t...
Ashish and Anil can do a piece of work in 12 days and 15 days respectively. Ashish completed 30% of the work. Find the time taken by Anil to complete th...
Relevant for Exams:
