A person covers a distance of 45 km in 5 hours . Some part of this journey is covered on foot at the speed of 7 km/hr and the rest by cycle at the speed of 12 km/hr . Find the distance covered by cycle .

24

Distance = Speed × Time 

Total Distance = 45 km 

Total Time taken = 5 hours 

Let the time he traveled on foot be x hours with speed 7 km/hr 

And time he traveled by bicycle is ( 5 - x ) hours with speed 12 km/hr 

According to question , 

7 × x + 12 × ( 5 - x ) = 45 

7x + 60 - 12x = 45 

5x = 15    ⇒   x = 3 hours 

Time he traveled by bicycle is ( 5 - x ) hours = 5 - 3 = 2 hours

So ,  distance traveled by foot = 12  × 2  = 24 km