(a) A car travels 100 miles at a speed of 40mph.
(b) A lorry travels 90 miles at a speed of 60 mph.
(c) A bus drives at a speed of 48mph and covers a distance of 60 miles.
(d) A helicopter flies 105 kilometres at a speed of 140 km/h
(e) A bird covers a distance of 95 miles at a speed of 20 miles per hour:
(f) A car travels at 50 mph and covers a distance of 110 miles.
(g) A lorry drives a distance of 452.4 kilometres at a speed of 52 km/h.
(h) A bird flies 80 miles at a speed of 15 miles per hour
(i) A ship sails 208 miles a speed of 24 miles per hour
(i) A jet flies at a speed of 480km/h and covers a distance of 2088 kilometres
(k) A racing car drives 256 miles at a speed of 120 mph
(i) A helicopter flies 764 kilometres at a speed of 80 km/h

To solve this set of questions, we need to calculate the **time** it takes for each vehicle, bird, or object to travel a given distance at a given speed. The formula for time is:

\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}}
\]

I will now calculate the time taken for each part:

### (a) Car:
- Distance = 100 miles
- Speed = 40 mph
\[
\text{Time} = \frac{100 \text{ miles}}{40 \text{ mph}} = 2.5 \text{ hours}
\]

### (b) Lorry:
- Distance = 90 miles
- Speed = 60 mph
\[
\text{Time} = \frac{90 \text{ miles}}{60 \text{ mph}} = 1.5 \text{ hours}
\]

### (c) Bus:
- Distance = 60 miles
- Speed = 48 mph
\[
\text{Time} = \frac{60 \text{ miles}}{48 \text{ mph}} = 1.25 \text{ hours}
\]

### (d) Helicopter:
- Distance = 105 km
- Speed = 140 km/h
\[
\text{Time} = \frac{105 \text{ km}}{140 \text{ km/h}} = 0.75 \text{ hours}
\]

### (e) Bird:
- Distance = 95 miles
- Speed = 20 mph
\[
\text{Time} = \frac{95 \text{ miles}}{20 \text{ mph}} = 4.75 \text{ hours}
\]

### (f) Car:
- Distance = 110 miles
- Speed = 50 mph
\[
\text{Time} = \frac{110 \text{ miles}}{50 \text{ mph}} = 2.2 \text{ hours}
\]

### (g) Lorry:
- Distance = 452.4 km
- Speed = 52 km/h
\[
\text{Time} = \frac{452.4 \text{ km}}{52 \text{ km/h}} \approx 8.7 \text{ hours}
\]

### (h) Bird:
- Distance = 80 miles
- Speed = 15 mph
\[
\text{Time} = \frac{80 \text{ miles}}{15 \text{ mph}} \approx 5.33 \text{ hours}
\]

### (i) Ship:
- Distance = 208 miles
- Speed = 24 mph
\[
\text{Time} = \frac{208 \text{ miles}}{24 \text{ mph}} \approx 8.67 \text{ hours}
\]

### (j) Jet:
- Distance = 2088 km
- Speed = 480 km/h
\[
\text{Time} = \frac{2088 \text{ km}}{480 \text{ km/h}} = 4.35 \text{ hours}
\]

### (k) Racing Car:
- Distance = 256 miles
- Speed = 120 mph
\[
\text{Time} = \frac{256 \text{ miles}}{120 \text{ mph}} \approx 2.13 \text{ hours}
\]

### (l) Helicopter:
- Distance = 764 km
- Speed = 80 km/h
\[
\text{Time} = \frac{764 \text{ km}}{80 \text{ km/h}} \approx 9.55 \text{ hours}
\]

### Summary of Time Taken:
1. Car (a): 2.5 hours
2. Lorry (b): 1.5 hours
3. Bus (c): 1.25 hours
4. Helicopter (d): 0.75 hours
5. Bird (e): 4.75 hours
6. Car (f): 2.2 hours
7. Lorry (g): 8.7 hours
8. Bird (h): 5.33 hours
9. Ship (i): 8.67 hours
10. Jet (j): 4.35 hours
11. Racing Car (k): 2.13 hours
12. Helicopter (l): 9.55 hours

---

Would you like more details on any part of the calculations? Here are some related questions:

1. What happens if the speeds of the vehicles change?
2. How would different units (e.g., kilometers per hour vs miles per hour) affect the calculations?
3. How would you calculate the average speed if all vehicles traveled the same total distance?
4. How does fuel consumption relate to speed and time of travel?
5. What impact do varying weather conditions have on time of travel?

**Tip:** Always ensure that the units for distance and speed match when calculating time, or convert them appropriately before applying the formula.

(a) A car travels 100 miles at a speed of 40mph.
(b) A lorry travels 90 miles at a speed of 60 mph.
(c) A bus drives at a speed of 48mph and covers a distance of 60 miles.
(d) A helicopter flies 105 kilometres at a speed of 140 km/h.
(e) A bird covers a distance of 95 miles at a speed of 20 miles per hour.
(f) A car travels at 50 mph and covers a distance of 110 miles.
(g) A lorry drives a distance of 452.4 kilometres at a speed of 52 km/h.
(h) A bird flies 80 miles at a speed of 15 miles per hour.
(i) A ship sails 208 miles at a speed of 24 miles per hour.
(j) A jet flies at a speed of 480km/h and covers a distance of 2088 kilometres.
(k) A racing car drives 256 miles at a speed of 120 mph.
(l) A helicopter flies 764 kilometres at a speed of 80 km/h.

Explore how to calculate the time taken for various vehicles and objects, including cars, lorries, birds, helicopters, and jets, to travel specific distances at different speeds. This problem covers key mathematical concepts such as the time-distance-speed formula, unit conversions, and ratio analysis. Suitable for students in Grades 6-8.

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