Two pipes A and B can fill a tank in 12 min., and 16 min, respectively. If both the pipes are opened simultaneously, after how much time A should be closed so that the tank is full in 12 minutes?
Let A be closed after x minutes. Then, Part filled by (A + B) in x min. + part filled by B in (12 – x) min. = 1 x (1/12 + 1/16 ) + (12 – x ) × 1/16 = 1 ⟹ (7 x)/48 + (12 - x)/16 = 1 ⟹ (7 x)/48 + 3/4 - x/16 = 1 ⟹ (4 x)/48 = 1/4 ∴ x = 3 ∴ Hence, A must be closed after 3 minutes.
'B' and 'N' can collectively finish a task in 88 days, and 'N' and 'S' together can complete the same work in 66 days. If 'B' and 'S' work together, the...
Sachin can complete a job in 15 days. Ankit alone can complete the same job in 10 days. Sachin works for 9 days and then the remaining job is completed ...
Vijay can do a piece of work in 10 days and Sanjay can do the same work in 15 days. If Vijay works for 4 days and got Rs. 1680, and the remaining work w...
24 delivery boys can complete a delivery in 15 days. If 12 boys start the same work, and after 12 days, 'd' more boys join the work, completing the rema...
A and B can complete a work together in 32 days. If A alone can complete one-fourth of the work in ‘x’ days and remaining work is completed ...
Ram can do a piece of work in 12 days and Shyam can do the same work in 20 days. They both started work together, Ram left 4 days before the completion ...
‘A’ and ‘B’ can do a piece of work in 20 days and 32 days, respectively. If they started the work together and worked on it for 9 days, then fin...
P’s 2 days work is equal to Q’s 3 days work. If P and Q together can complete the work in 30 days then how much time Q will take to complete 60% of ...
Bharti, Chiku, and Diksha complete 30%, 40%, and 20% of a task in 6 days, 12 days, and 8 days, respectively. How many days will it take for them to coll...