Final answer:
To find the value of x, we need to set up an equation based on the given information and solve it. The value of x is 6.5. Amirah walks for 7.5 hours and cycles for 5.5 hours. The average speed for the entire journey is 6.92 km/h.
Step-by-step explanation:
To find the value of x, we need to set up an equation based on the information given. The total distance covered by Amirah is the sum of the distances she walked and cycled, which is equal to 90 km.
Using the formula distance = speed x time, we can set up the following equations:
(x + 1) km/h * x hours + (2x + 5) km/h * (x-1) hours = 90 km
By solving this equation, we can find the value of x, which is 6.5.
Based on this value, we can calculate the time Amirah spends walking and cycling. Amirah walks for 7.5 hours and cycles for 5.5 hours. The average speed for the entire journey can be calculated by dividing the total distance (90 km) by the total time (13 hours), which gives us an average speed of 6.92 km/h.