Karen Morrison and Nick Hamshaw Solutions for Exercise 2: Exercise 22.2

Soumik has $\$5$ less than his friend Kofi. If they have $\$97.50$ altogether, how much does each person have?

Two competition winners are to share a prize of $\$750$. If one winner receives twice as much as the other, how much will they each recieve?

A grandfather is six times as old as his grandson. If the grandfather was $45$ when his grandson was born, how old is the grandson?

A rectangle of perimeter $74 \mathrm{cm}$ is $7 \mathrm{cm}$ longer than it's wide. What is the length of each side?

Smitville is located between Jonesvilla and Cityville. Smitville is five times as far away from Cityville as it is from Jonesvilla. If the distance between Jonesvilla and Cityville is $288 \mathrm{km}$, how far is it from Jonesvilla to Smitvilla?

Amrita is twice as old as her cousin Pam. Nine years ago, their combined age was $18$. What are their present ages?

Jabu left town $\mathrm{A}$ to travel to town $\mathrm{B}$ at $6.00 \mathrm{a}.\mathrm{m}$. He drove at the average speed of $80 \mathrm{km}/\mathrm{h}$. At $8.30 \mathrm{am}$, Sipho left town $\mathrm{A}$ to travel to town $\mathrm{B}$. He drove at an average speed of $100 \mathrm{km}/\mathrm{h}$. At what time will Sipho catch up with Jabu?

Cecelia took $40$ minutes to complete a journey. She travelled half the distance at a speed of $100 \mathrm{km}/\mathrm{h}$ and the other at $60 \mathrm{km}/\mathrm{h}$. How far was her journey?