Math Problem Statement
(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
Solution
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:
I will now calculate the time taken for each part:
(a) Car:
- Distance = 100 miles
- Speed = 40 mph
(b) Lorry:
- Distance = 90 miles
- Speed = 60 mph
(c) Bus:
- Distance = 60 miles
- Speed = 48 mph
(d) Helicopter:
- Distance = 105 km
- Speed = 140 km/h
(e) Bird:
- Distance = 95 miles
- Speed = 20 mph
(f) Car:
- Distance = 110 miles
- Speed = 50 mph
(g) Lorry:
- Distance = 452.4 km
- Speed = 52 km/h
(h) Bird:
- Distance = 80 miles
- Speed = 15 mph
(i) Ship:
- Distance = 208 miles
- Speed = 24 mph
(j) Jet:
- Distance = 2088 km
- Speed = 480 km/h
(k) Racing Car:
- Distance = 256 miles
- Speed = 120 mph
(l) Helicopter:
- Distance = 764 km
- Speed = 80 km/h
Summary of Time Taken:
- Car (a): 2.5 hours
- Lorry (b): 1.5 hours
- Bus (c): 1.25 hours
- Helicopter (d): 0.75 hours
- Bird (e): 4.75 hours
- Car (f): 2.2 hours
- Lorry (g): 8.7 hours
- Bird (h): 5.33 hours
- Ship (i): 8.67 hours
- Jet (j): 4.35 hours
- Racing Car (k): 2.13 hours
- Helicopter (l): 9.55 hours
Would you like more details on any part of the calculations? Here are some related questions:
- What happens if the speeds of the vehicles change?
- How would different units (e.g., kilometers per hour vs miles per hour) affect the calculations?
- How would you calculate the average speed if all vehicles traveled the same total distance?
- How does fuel consumption relate to speed and time of travel?
- 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.
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Math Problem Analysis
Mathematical Concepts
Algebra
Ratios
Unit Conversion
Time-Distance-Speed Relation
Formulas
Time = Distance / Speed
Theorems
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Suitable Grade Level
Grades 6-8
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