9. If a motorbike runs at the speed of 96 km per hr, how far will it go in 10 min?
a. 4.8 km
c. 16km
b. 6km
d. 12km
For two numbers 'A' and 'B' if 'C' and 'D' are HCF and LCM respectively then:
Answer (2)
The motorbike travels 16 km in 10 minutes at a speed of 96 km/hr. Therefore, the correct option is (c) 16 km.
;
Convert the time to hours: 10 minutes = 6 1 hours .
Use the formula distance = speed × time.
Calculate the distance: 96 km/hr × 6 1 hr = 16 km .
The motorbike travels 16 km in 10 minutes.
Explanation
Problem Introduction We are given that a motorbike travels at a speed of 96 km/hr. We want to find out how far it travels in 10 minutes.
Converting Time Units First, we need to convert the time from minutes to hours since the speed is given in km/hr. There are 60 minutes in an hour, so 10 minutes is 60 10 hours.
Simplifying the Fraction 60 10 simplifies to 6 1 hours.
Applying the Formula Now we can use the formula: distance = speed × time. In this case, the speed is 96 km/hr and the time is 6 1 hours. So, the distance is 96 × 6 1 km.
Calculating the Distance 96 × 6 1 = 6 96 = 16 km.
Final Answer Therefore, the motorbike will travel 16 km in 10 minutes.
Examples
Understanding how speed, time, and distance relate is useful in everyday life. For example, if you're planning a road trip, knowing your average speed and the distance you need to travel helps you estimate how long the trip will take. Similarly, if you know how far you need to go and how much time you have, you can calculate the speed you need to maintain to arrive on time. This concept is also used in logistics and transportation to optimize delivery routes and schedules.
