Final answer:
Akshay traveled a distance of 60 km in 10 hours, part on foot and part on a cycle. To find the distance traveled on the cycle, we can subtract the distance traveled on foot from the total distance covered. Akshay traveled 90 km on the cycle.
Step-by-step explanation:
To find the distance traveled on the cycle, we can subtract the distance traveled on foot from the total distance covered. Akshay covered a distance of 60 km in 10 hours, so his average speed was 60 km / 10 hours = 6 km/hr. Let's assume he traveled x km on the cycle. The remaining distance traveled on foot would be 60 km - x km. The time taken to travel on foot would be (60 km - x km) / 5 km/hr, and the time taken to travel on the cycle would be x km / 9 km/hr. We can set up the equation:
(60 km - x km) / 5 km/hr + x km / 9 km/hr = 10 hours
Simplifying the equation, we get:
12(60 km - x km) + 5x = 90
720 km - 12x + 5x = 90
-7x = 90 - 720 km
-7x = -630 km
x = -630 km / -7 = 90 km
Therefore, the distance traveled on the cycle is 90 km.