R. Gupta Solutions for Chapter: Streams, Exercise 1: EXERCISE

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

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

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

A man can row  4.5 km/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 the 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 $7$ seconds and passes through the platform completely in $28$ seconds. If the length of the platform is $330$ meters, 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/hr. 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?