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 .
Answer & explanation
Correct answer: option 3
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