**Question 10:**

Diagram below shows the distance from Town

*P*to Town

*Q*and Town

*Q*to Town

*R*.

(a) Rahim rode his bicycle from Town

*P*at 9.00 a.m. and took 2 hours to reach Town

*Q.*

What is the speed, in km/h, of the bicycle?

(b) Rahim took 30 minutes rest at Town

*Q*and continued his journey to Town

*R*three times faster than his earlier speed.

State the time he reached Town

*R*.

*Solution*:**(a)**

$\begin{array}{l}\text{ThespeedofthebicyclefromTown}P\text{toTown}Q\\ =\frac{\text{Distance}}{\text{Time}}\\ =\frac{10}{2}\\ =5\text{km/h}\end{array}$

**(b)**

$\begin{array}{l}\text{Speed}=\frac{\text{Distance}}{\text{Time}}\\ \\ \text{Rahimtook30minutesrestatTown}Q\text{.}\\ \text{TimetakenwhenhisjourneytoTown}R\text{threetimes}\\ \text{fasterthanhisearlierspeed}\text{.}\\ =\frac{25}{5\times 3}\\ =\frac{5}{3}\\ =1\frac{2}{3}\text{hours}\\ =1\text{hour40minutes}\leftarrow \overline{)\begin{array}{l}\frac{2}{3}\times 60\\ =40\text{minutes}\end{array}}\\ \\ \text{TotaltimetakenfromTown}P\text{toTown}Q\text{andTown}Q\text{toTown}R\\ =2\text{hours}+30\text{minutes}+1\text{hour40minutes}\\ =4\text{hour10minutes}\\ \\ \text{ThetimehereachedTown}R\text{at1}\text{.10p}\text{.m}\text{.}\end{array}$

**Question 11:**

Diagram below shows a trailer travelling from a factory to location

*P*and location

*P*to location

*Q*. The trailer departs at 8.00 a.m.

(a) Based on the Table, calculate the total mass, in tonne, of the trailer and its load.

(b) The trailer arrived at location

*P*at 10.00 a.m. and it stopped for 1½ hours to unload half of the concrete pipes. The trailer then continued its journey to location

*Q*two times faster than its earlier speed. State the time, the trailer reached at location

*Q*.

*Solution*:**(a)**

$\begin{array}{l}\text{Massofconcretepipeonthetrailer}\\ =500\text{kg}\times 8\\ =4000\text{kg}\\ =\frac{4000}{1000}\\ =4\text{tonnes}\\ \\ \text{Totalmassofthetraileranditsload}\\ =1.5+4.0\\ =5.5\text{tonnes}\end{array}$

**(b)**

$\begin{array}{l}\text{Speed}=\frac{\text{Distance}}{\text{Time}}\\ \\ \text{TimetakentotravelfromtheFactorytoLocation}P\\ =10.00\text{a}\text{.m}\text{.}-8.00\text{a}\text{.m}\text{.}\\ =2\text{hours}\\ \\ \text{Speedofthetrailer}\\ =\frac{80}{2}\\ =40\text{km/h}\\ \\ \text{Itstoppedfor}1\frac{1}{2}\text{hourstounloadhalfoftheconcretepipes}\text{.}\\ \\ \text{TimetakentocontinueitsjourneytoLocation}Q\\ =\frac{\text{Distance}}{\text{Speed}}\\ =\frac{200}{40\times 2}\\ =2\frac{1}{2}\text{hours}\\ \\ \text{ThetimethetrailerreachedatLocation}Q\\ =1400\text{hoursor}2.00\text{p}\text{.m}\text{.}\end{array}$

**Question 12:**

Diagram below shows travel information of Jason and Mary from Town

*A*to Town

*B*. Jason drives a lorry while Mary drives a car.

(a) Jason started his journey from Town

*A*at 7.00 a.m.

State the time, Jason reached at Town

*B*.

(b) If both of them reached Town

*B*at the same time, state the time Mary started her journey from Town

*A*.

*Solution*:**(a)**

Total time taken from Town A to Town B

= 3 hours + 1 hour + 2 hours

= 6 hours

Time Jason reached Town B

= 0700 + 0600

= 1300 hours → 1.00 p.m.

**(b)**

$\begin{array}{l}\text{Speed}=\frac{\text{Distance}}{\text{Time}}\\ \text{TotaldistancefromTown}A\text{toTown}B\\ =\left(60\times 3\right)+\left(75\times 2\right)\\ =180+150\\ =330\text{km}\\ \\ \text{TimetakenbyMary}\\ =\frac{330}{100}\\ =3.3\text{hours}\\ =3\text{hours}18\text{minutes}\leftarrow \overline{)\begin{array}{l}0.3\times 60\\ =18\text{minutes}\end{array}}\\ \\ \text{ThetimeMarystartedherjourneyfromTown}A=9.42\text{a}\text{.m}\text{.}\end{array}$