UP Police Constable 2018 Question Paper (25-Oct-2018) (Shift-1)

Raksha can complete a piece of work in $12\text{ days}$ while Esther takes $20\text{ days}$ to complete the work. They start working together but Raksha leaves $4\text{ days}$ before the work gets over. For how many days does Esther work?

A ship develops a leak $20\text{ km}$ from the shore. Despite the leak, the ship is able to move towards the shore at a speed of $12\text{ km/hr}$. However, the ship can stay afloat only for $23\text{ minutes}$. If a rescue vessel were to leave from the shore towards the ship and it takes $8\text{ minutes}$ to evacuate the crew and passengers of the ship, what should be the minimum speed of the rescue vessel in order to be able to successfully rescue the people aboard the ship?

Paulson usually leaves his home everyday at 8:15 am and travels at a certain speed to reach office on time. One day he travelled at $\frac{3}{5}$ of the usual speed and hence arrived 45 minutes late. How much time does Paulson usually take to reach his office?

Simplify:
$$48+[25-\{20-(11-16÷2\times 4)\}]=?$$

Simplify:
$$256+25.6+2.56+0.256+0.0256=?$$