Arun Sharma Solutions for Exercise 1: Level of Difficulty

Narayan Murthy walking at a speed of $20 km/h$ reaches his college $10 minutes$ late. Next time he increases his speed by $5 km/h$, but finds that he is still late by $4 minutes$. What is the distance of his college from his house?

Jayshree goes to office at a speed of $6 km/h$ and returns to her home at a speed of $4 km/h$. If she takes $10 hours$in all. What is the distance between her office and her home?

A motor car does a journey in $17.5 hours$, covering the first half at $30 km/h$ and the second half at$40 km/h$. Find the distance of the journey.

Sujit covers a distance in $40 minutes$ if he drives at a speed of $60 kilometer/hour$ on an average. Find the speed at which he must drive at to reduce the time of the journey by $25\%$

Manish travels a certain distance by car at the rate of $12 km/h$ and walks back at the rate of $3 km/h$. The whole journey took $5 hours$ . What is the distance he covered on the car? 

A car driver driving in a fog passes a pedestrian who was walking at the rate of $2\mathrm{km}/\mathrm{hr}$2km/hr in the same direction. The pedestrian could see the car for $6 \mathrm{minutes}$ and it was visible to him upto a distance of $0.6 \mathrm{km}$. What was the speed of the car?

The speed of the boat in still water is $12 \mathrm{km}/\mathrm{hr}$ and the speed of the stream is $2 \mathrm{km}/\mathrm{h}.$ a distance of $8 \mathrm{km}$, going upstream, is covered in

The distance between two cities $\mathrm{A}$ and $\mathrm{B}$is $100$$\mathrm{km}$and the speed of Ram and Rahim are $50 \mathrm{km}/\mathrm{h} \mathrm{and} 30 \mathrm{km}/\mathrm{h}$respectively. Initially Ram is at $\mathrm{A}$and Rahim is at $\mathrm{B}$. If they move between $\mathrm{A}$and $\mathrm{B}$to and fro, then the distance (in $\mathrm{kms}$kms) covered by Ram by the time they meet for the $3\mathrm{rd}$time would be?