Question : A car covers the first 210 km at a speed of 70 km/h, it covers the next 170 km at a speed of 85 km/h. What is its average speed?
Option 1: 72 km/h
Option 2: 76 km/h
Option 3: 74 km/h
Option 4: 68 km/h
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Correct Answer: 76 km/h
Solution : Distance covered in the first case = 210 km Speed in the first case = 70 km/h Time taken in the first case = $\frac{210}{70}$ = 3 hr Distance covered in the second case = 170 km Speed in the second case = 85 km/h Time taken in the second case = $\frac{170}{85}$ = 2 hr Average speed = $\frac{\text{Total distance}}{\text{Total time}}$ = $\frac{210+170}{3+2}$ = $\frac{380}{5}$ = 76 km/h Hence, the correct answer is 76 km/h.
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Question : A train is moving at a speed of 80 km/h and covers a certain distance in 4.5 hours. The speed of the train to cover the same distance in 4 hours should be:
Option 1: 100 km/h
Option 2: 70 km/h
Option 3: 85 km/h
Option 4: 90 km/h
Question : Sriya with her family travelled from Bolpur to Suri by car at a speed of 40 km/h and returned to Bolpur at a speed of 50 km/h. The average speed for the whole journey is:
Option 1: $44\frac{4}{9}$ km/h
Option 2: $45$ km/h
Option 3: $45\frac{1}{2}$ km/h
Option 4: $44.78$ km/h
Question : A truck covers three equal distances of 100 km at the speeds of 200 km/hr, 300 km/hr, and 600 km/hr. Find the average speed of the truck for the whole journey.
Option 1: 250 km/h
Option 2: 300 km/h
Option 3: 366.66 km/h
Option 4: 327 km/h
Question : Anil completed a certain journey by car. If he covered 35% of the distance at 70 km/h, 40% of the distance at 80 km/h and the remaining distance at 50 km/h, his average speed (in km/h) for the entire journey is:
Option 1: $66 \frac{1}{6} $km/h
Option 2: $66 \frac{2}{3} $km/h
Option 3: $66 \frac{1}{3} $km/h
Option 4: $66 \frac{4}{3} $km/h
Question : A train runs from Howrah to Bandel at an average speed of 20 km/h and returns at an average speed of 30 km/h. The average speed (in km/h) of the train in the whole journey is:
Option 1: 20
Option 2: 22.5
Option 3: 24
Option 4: 25
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