Aussie Maths & Science Teachers: Save your time with SmarterEd
The distance between Bricktown and Koala Creek is 75 km. A person travels from Bricktown to Koala Creek at an average speed of 50 km/h.
How long does it take the person to complete the journey?
`C`
| `text(Time)` | `= frac(text(Distance))(text(Speed))` |
| `= frac(75)(50)` | |
| `=1.5 \ text(hours)` | |
| `= 1 \ text(hour) \ 30 \ text(minutes)` |
`=> \ C`
A car is travelling at 95 km/h.
How far will it travel in 2 hours and 30 minutes?
A. `38\ text(km)`
B. `41.3\ text(km)`
C. `218.5\ text(km)`
D. `237.5\ text(km)`
`text(D)`
| `text(Distance)` | `= 95 xx 2.5` |
| `= 237.5\ text(km)` |
`=>\ text(D)`
A train departs from Town A at 3.00 pm to travel to Town B. Its average speed for the
journey is 90 km/h, and it arrives at 5.00 pm. A second train departs from Town A at
3.10 pm and arrives at Town B at 4.30 pm.
What is the average speed of the second train?
`A`
`text(1st train)`
`text(Travels 2hrs at 90km/h)`
| `text(Distance)` | `=text(Speed)xxtext(Time)` |
| `=90xx2` | |
| `=180\ text(km)` |
`text(2nd train)`
`text(Travels 180 km in 1 hr 20 min)\ (4/3\ text(hrs))`
| `text(Speed)` | `=text(Distance)/text(Time)` |
| `=180-:4/3` | |
| `=180xx3/4` | |
| `=135\ text(km/h)` |
`=> A`
A car takes 6 hours to complete a journey when travelling at 60 km/h.
How long would the same journey take if the car were travelling at 100 km/h?
`D`
`T = D/S`
`text(S)text(ince)\ \ \ T = 6\ \ \ text(when)\ \ \ S = 60`
| `6` | `= D/60` |
| `D` | `= 360\ text(km)` |
`text(Find)\ \ T\ \ text (when)\ \ \ S = 100\ \ text(and)\ \ \ D = 360`
| `T` | `= 360/100` |
| `= 3.6\ text(hours)` | |
| `= 3\ text(hrs)\ \ 36\ text(minutes)` |
`=> D`