Shyam Saraf and Abhilasha Swarup Solutions for Exercise 1: EXERCISE

The distance between two stations A and B is $778$ $\mathrm{km}$. A train covers the journey from A to B at $84$ $\mathrm{kmph}$and returns to A with a uniform speed of $56$$\mathrm{kmph}$. Find the average speed of the train during the whole journey.

Anil covers a distance of $27$ $\mathrm{km}$in $4$ Hours. If his speed during the first $15$ $\mathrm{km}$is $6$ $\mathrm{kmph}$, what is his average speed during the remaining part of his journey?

An  airplane, travelling at $600$ $\mathrm{kmph}$, is $30$ $\mathrm{km}$from the International Airport at $4:58$ $\mathrm{p}.\mathrm{m}.$ At what time, will it arrive at the airport?

A train 'Lucknow Express', running at an average speed of $48$ $\mathrm{kmph}$, covers a distance in $6$ hours. Find the speed of another train 'Kanpur Express', which covers the same distance in $10$ hours.

Shalvi drove from her home to school at a speed of $60$$\mathrm{kmph}$. While returning over the same route, she drove at a speed of $40$ $\mathrm{kmph}$. If the return trip took $1$hour longer, how many kilometres did she drive each way?

The Rajdhani Express from Delhi to Lucknow leaves Delhi at$6:30$ a.m. and travels at$60$ $\mathrm{kmph}$towards Lucknow situated $500$ $\mathrm{km}$away. At $7:00$ a.m., the Shatabdi Express leaves from Lucknow towards Delhi and travels at $80$ $\mathrm{kmph}$. At $7:30$ a.m., the traffic controller at Lucknow realises that both the trains are running on the same track. How much time does he have to avoid a head-on collision between the two trains?

The speed of a boat along the stream is $12$ $\mathrm{kmph}$and against the stream is$6$ $\mathrm{kmph}$. What is the speed of the boat in still water (in $\mathrm{kmph}$)?

In a kilometre race, A beats B by $20$ $\mathrm{s}$ and B beats C by $12 \mathrm{s}$. By how many seconds, did A beat C?