A girl reaches school on foot from her home in 24 minutes at a speed of 5 km/h and in return travels the same distance by cycling at a speed of 8 km/h. time took to get back by bicycle?Options15 minutes8 minutes21 minutes10 minutes
Question
A girl reaches school on foot from her home in 24 minutes at a speed of 5 km/h and in return travels the same distance by cycling at a speed of 8 km/h. time took to get back by bicycle?Options15 minutes8 minutes21 minutes10 minutes
Solution
To solve this problem, we first need to find out the distance between the girl's home and her school. We know that she walks to school at a speed of 5 km/h and it takes her 24 minutes.
Step 1: Convert the time from minutes to hours. 24 minutes = 24/60 = 0.4 hours
Step 2: Use the formula for distance which is speed * time. Distance = Speed * Time Distance = 5 km/h * 0.4 hours = 2 km
Now, we know that the distance between her home and school is 2 km.
Next, we need to find out how long it takes her to cycle back home at a speed of 8 km/h.
Step 3: Use the formula for time which is distance/speed. Time = Distance / Speed Time = 2 km / 8 km/h = 0.25 hours
Step 4: Convert the time from hours to minutes. 0.25 hours = 0.25*60 = 15 minutes
So, it takes her 15 minutes to get back home by bicycle. Therefore, the correct answer is 15 minutes.
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