RPH Editorial Team Solutions for Exercise 2: MISCELLANEOUS EXERCISE

Two cars run to a place at the speeds of $45 km/hr$ and $60 km/hr$ respectively. If the second car takes $5$ hours less than the first for the journey. Find the length of the journey ?

A cyclist travels for $10$ hours, the first half at $21$ $\mathrm{kmph}$ and the other half at $24$ $\mathrm{kmph}$. Find the distance travelled?

On a tour, a man travels at the rate of $64 kmph$ for the first $160 km$, then travels the next $160 km$ at the rate of $80 kmph$. What is the average speed in $km$ per hour for the first $320 km$ of the tour?

A man can row $4.5 \mathrm{km}/\mathrm{hr}$ in still water and he finds that it takes him twice as long to row upstream as to row down the river. Find the rate of stream?

A man can row $5 km$ per hour in still water. If the river is flowing at $1 km$ per hour, it takes him $75$ minutes to row to a place and back. How far is the place?

A train passes through the stationary man standing on the platform in $7 \mathrm{s}$ and passes through the platform completely in $28 \mathrm{s}$. If the length of the platform is $330$ metres, what is the length of the train?

A man covers a certain distance between his house and office on scooter. Having an average speed of $30 km/hr$, he is late by $10$ minutes. However, with a speed of $40 km/hr$, he reaches his office $5$ minutes earlier. Find the distance between his house and office:

The distance between two stations, Delhi and Amritsar, is $450 km$. A train starts at $4$ p.m. from Delhi and moves towards Amritsar at an average speed of$60 km/hrs$. Another train starts from Amritsar at $3:20$ p.m. and moves towards Delhi at an average speed of $80 km/hrs$. How far from Delhi will the two trains meet and at what time?