Question : If a truck moves at a constant speed of 30 km/hr for 1 kilometre and 45 km/hr for the next 1 kilometre. What is the average speed of the truck?
Option 1: 32 km/hr
Option 2: 36 km/hr
Option 3: 38 km/hr
Option 4: 34 km/hr
Correct Answer: 36 km/hr
Solution :
Total distance covered in 2 km/hr. The time taken for the first kilometre at 30 km/h = $\frac{1}{30}$ hours The time taken for the second kilometre at 45 km/h = $\frac{1}{45}$hours Total Time taken : = $\frac{1}{30}$ + $\frac{1}{45}$ Now using the average speed formula: ⇒ Average speed = $\frac{\text{Total Distance}}{\text{Total Time}}$ = $\frac{2}{\frac{3}{90} + \frac{2}{90}}$ = $\frac{2}{\frac{5}{90}}$ = $\frac{2 × 90}{5}$ = $\frac{180}{5}$ = 36 km/hr Hence, the correct answer is 36 km/hr.
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Question : A boy goes from home to school at a speed of 30 km/hr and returns back at a speed of 70 km/hr. What is his average speed for the journey?
Option 1: 42 km/hr
Option 2: 48 km/hr
Option 4: 36 km/hr
Question : During a journey of 120 km, Rahi drives the first 60 km at the speed of 60 km/hr, the next 30 km at 60 km/hr and the remaining 30 km at the speed of 30 km/hr. Determine the average speed.
Option 1: 48 km/hr
Option 2: 33.33 km/hr
Option 3: 50 km/hr
Option 4: 40 km/hr
Question : A man covers a certain distance by bike. If he covers 25% of the distance at the speed of 25 km/hr, 50% of the distance at the speed of 50 km/hr and the remaining distance at the speed of 12.5 km/hr, find his average speed over the whole journey.
Option 1: 20 km/hr
Option 2: 30 km/hr
Option 3: 25 km/hr
Option 4: 35 km/hr
Question : If a man goes from place A to B at a speed of 12 km/hr and return at a speed of 18 km/hr, then the average speed for the whole journey is:
Option 1: $6 \mathrm{~km} / \mathrm{hr}$
Option 2: $30 \mathrm{~km} / \mathrm{hr}$
Option 3: $14 \frac{2}{5} \mathrm{~km} / \mathrm{hr}$
Option 4: $15 \mathrm{~km} / \mathrm{hr}$
Question : A man goes from place A to B at a speed of 12 km/hr and returns from B to A at a speed of 18 km/hr. His average speed for the entire journey is:
Option 1: $14 \frac{2}{5} \mathrm{~km} / \mathrm{hr}$
Option 2: 15 km/hr
Option 3: 6 km/hr
Option 4: 30 km/hr
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