time and work Model Questions & Answers, Practice Test for ibps so prelims 2023

Three pipes A, B and C when working alone, can fill a tank from empty to full in 30 minutes, 20 minutes and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of solution R in the liquid in the tank after 3 minutes ?

P is 3 times more efficient than Q, and is therefore able to complete a work in 60 days earlier. The number of days that P and Q together will take to complete the work is

Mr. A is running at a speed X kmph to cover a distance 1 km. But due to sticky ground his speed is reduced by Y kmph. If he takes Z hours to cover the distance, then –

One fill pipe A is 3 times faster than second fill pipe B and takes 10 minutes less time to fill a cistern than B takes. Find when the cistern will be full if fill pipe B is only opened.

Two taps A and B can fill a cistern in 12 minutes and 18 minutes respectively. They are turned on at the same time. If the tap A is turned off after 4 minutes, how long will tap B take to fill the rest of the cistern ?