Time and Distance Questions

A train running at $23.6\text{km/hr}$ takes $30$ seconds to pass a platform. Next, it takes $11$ seconds to pass a man walking at $12.4\text{km/hr}$ in the opposite direction. Find the length of the train.

A man rides his bicycle for $10\text{km}$ at an average speed of $12\text{km/h}$ and further travels $12\text{km}$ at an average speed of $10\text{km/h}$. What is his approximate average speed for the entire trip?

Running at a speed of $60\text{km/h}$, a train passed through a $1.5\text{km}$ long tunnel in $2\text{minutes}$. What is the length of the train?

Three friends A, B and C start running around a circular stadium and complete a single round in $24\text{ seconds}$, $36\text{ seconds}$ and $30\text{ seconds}$, respectively. After how many minutes will they meet again at the starting point?

A train takes $11$ seconds and $10$ seconds to cross $2$ men who are walking in the same direction of the train at the speed of $6\text{km/hr}$ and $5\text{km/hr}$ respectively. Find the speed of the train.

At the 'Shoot and Win' stall in a fair, $X$ fires $5$ shots to $Y$ 's $3$, but $X$ hits the target only once in three shots while $Y$ hits once in $2$ shots. When $Y$ has missed $27$ times, how many times has $X$ hit his target?

A caterpillar crawls up a pole 75 inches high, starting from the ground. Each day it crawls up 5 inches and each night it slides down 4 inches. When will it first reach the top of the pole?