Taona and Stella both live 5km from the Hospital,stella walks at a speed of 4km/hr,while taona cycles.if stella leaves home 45minutes earlier than Taona,they arrive at the same time.how fast does Taona cycle
To solve this problem, we need to determine the relative speed of Taona compared to Stella, given that they both live 5km away from the Hospital.
Let's first convert the time difference between Stella and Taona from minutes to hours. Stella leaves home 45 minutes earlier than Taona, which is equal to 45/60 = 0.75 hours.
Since both Taona and Stella arrive at the Hospital at the same time, and they have the same distance to cover, we can consider this scenario as Taona chasing Stella. In other words, Taona is trying to cover the same distance (5km) in a shorter amount of time (0.75 hours).
Now, we can calculate the speed at which Taona cycles using the formula:
Speed = Distance / Time
The speed of Stella is given as 4 km/hr. As Taona is trying to catch up with Stella, her speed would be greater than Stella's. Let's assume Taona's cycling speed is S km/hr.
For Stella:
Speed of Stella = 4 km/hr
For Taona:
Speed of Taona = S km/hr
Time taken by Taona = 0.75 hours
Distance covered by Taona = 5 km
Using the formula, we can write the equation:
S = 5 km / 0.75 hours
Simplifying the equation, we get:
S = 20/3 km/hr
Therefore, Taona cycles at a speed of approximately 6.67 km/hr (or 20/3 km/hr) to arrive at the Hospital at the same time as Stella.