Arihant Expert Team Solutions for Exercise 1: Practice Exercise

The difference between the times taken by two buses to travel a distance of $350 \mathrm{km}$ is $2$ hours $20$ minutes. If the difference between their speeds is $5 \mathrm{km}/\mathrm{h}$, find the slower speed.

X and Y start walking towards each other at $8:00$ a.m. at the speeds of $3 km/h$ and $4 km/h$ respectively. They were initially $17.5 km$ apart. At what time do they meet?

A train P starts from Mokama at $5:00$ pm and reaches Hazipur at $6:00$ pm. An another train Q starts from Hazipur at $5:00$ pm and reaches Mokama at $6:30$ pm. At what time, two trains will cross each other?

The distance travelled by a train is $1830 km$. The speed of the train is one more than twice the time taken to travel the distance, what will be the respective ratio of the speed of the train and time taken to travel?

A boatman takes twice as long to row a distance against the stream as to row the same distance with the stream. Find the ratio of speeds of the boat in still water and the stream.

The average speed of a car is $75 km/h$. The driver first decreases its average speed by $40\%$ and then increases it by $50\%$. What is the new average speed now?

A car driver covers a distance between two cities at a speed of $60 km/h$ and on the return his speed is $40 km/h$. He goes again from the Ist to the IInd city at twice that original speed and returns at half the original return speed. Find his average speed for the entire journey.

The average speed of a train in the onward journey is $25\%$ more than that in the return journey. The train halts for $2 h$ on reaching the destination. The total time taken to complete to and fro journey is $32 h$, covering a distance of $1600 km$. Find the speed of the train in the onward journey.