Cengage Experts Team (CET) Solutions for Exercise 1: Practice Exercise

A is $50 \mathrm{m}$ South-west of B. C is $50 \mathrm{m}$ South-east of B. Then, what is the direction of C with respect to A?

A person walks $40 \mathrm{m}$ in the north-west direction from his house and then walks $40 \mathrm{m}$ in the south-west direction. Next, he walks $40 \mathrm{m}$ in the south-east direction. Finally, he starts walking towards his house. In which direction is he moving?

There are four towns P, Q, R and T. Q is situated at the south-west of P, R is at the east of Q and south-east of P, and T is at the north of R. In which of the following direction T cannot be located with respect to P?

S starts walking towards the east. After walking $125 \mathrm{m}$, he turns left and walks $25 \mathrm{m}$. He turns left again, walks a distance of $80 \mathrm{m}$, he turns left again and walks $25 \mathrm{m}$. How far is he from the starting point?

A boy started travelling from his house towards the market located $5 \mathrm{km}$ away in the north-east direction. From there he went to his friend's house situated $4 \mathrm{km}$ south of the market. How far and in what direction is he from his house?

A lady lost her purse. She went $90 \mathrm{m}$ east to a shop before turning to her right. She went $20 \mathrm{m}$ ahead again before turning to her right. Thereafter, she walked $30 \mathrm{m}$ further to reach his uncle's place. From there, she went $100 \mathrm{m}$ north to a street where she found her purse. How far from the starting point did she find her purse?

Two cars, X and Y, $100 \mathrm{km}$ apart from start moving towards each other at the same speed on the main road. After covering $30 \mathrm{km}$, car Y turns left and covers $10 \mathrm{km}$, and then turns right and covers $20 \mathrm{km}$. Then, it turns right again and comes back to the main road. In the meantime, car X continues straight on the main road. What is the final distance between the two cars?