Question : The diameter of a wheel on a bicycle is 21 cm. The cyclist takes 45 minutes to reach a destination at a speed of 16.5 km/hr. How many revolutions will the wheel make during the journey?
Option 1: 12325
Option 2: 18750
Option 3: 21000
Option 4: 24350
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Correct Answer: 18750
Solution : Here, 16.5 km/hr = $\frac{16500}{60}$ m/min = 275 m/min So, the total distance of the journey is = (275 × 45) = 12375 metres = 1237500 cm Here, the diameter of a wheel on a bicycle is 21 cm. ⇒ the radius is = $\frac{21}{2}$ cm ⇒ the circumference of the wheel = $(2 × \frac{22}{7}×\frac{21}{2})$ cm = 66 cm $\therefore$ During the journey, the wheel will make ($\frac{1237500}{66}$) = 18750 revolutions Hence, the correct answer is 18750.
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Question : Reshma covers 45 km at a speed of 15 km/hr by bicycle, 80 km at a speed of 40 km/hr by car, and another 6 km at a speed of 2 km/hr on foot. Find her average speed for the whole journey (correct to 2 decimal places).
Option 1: 16.38 km/hr
Option 2: 43.50 km/hr
Option 3: 18.36 km/hr
Option 4: 15.25 km/hr
Question : A student walked 6 km from his house to reach the metro station, then boarded a metro that had an average speed of 60 km/hr, and reached the destination. It took 3 hours for the entire journey. If the average speed of the entire journey is 32 km/hr, then the speed of walking is ________.
Option 1: 1.5 km/hr
Option 2: 3 km/hr
Option 3: 2 km/hr
Option 4: 4 km/hr
Question : With an average speed of 45 km/hr, a train reaches its destination on time. If it goes with an average speed of 30 km/hr, it is late by 15 minutes. The total journey is:
Option 1: 20.5 km
Option 2: 40.5 km
Option 3: 22.5 km
Option 4: 30.5 km
Question : A person covers a certain distance by bus at 45 km/hr and immediately returns to the starting point by car at a speed of 80 km/hr. What is his average speed during the whole journey?
Option 1: 57.6 km/hr
Option 2: 63.2 km/hr
Option 3: 73.5 km/hr
Option 4: 45.5 km/hr
Question : A boat goes a certain distance at 30 km/hr and comes back the same distance at 60 km/hr. What is the average speed (in km/hr) for the total journey?
Option 1: 45 km/hr
Option 2: 50 km/hr
Option 3: 40 km/hr
Option 4: 35 km/hr
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