Question:
2 people A and B travel from X to Y along different routes. Their journeys take the same amount of time. B's route is 100km at an average speed of 40km/hour A's route is 60km. What is A's average speed?
Answer:
Person A's average speed is 24km/hr
Step-by-step explanation:
Given
Person B
[tex]Distance = 100km[/tex]
[tex]Speed = 40km/hr[/tex]
Person A
[tex]Distance = 60km[/tex]
Required
Average speed of person A
Speed is calculated as:
[tex]Speed = \frac{Distance}{Time}[/tex]
For person B
[tex]40 = \frac{100}{Time}[/tex]
Make Time the subject
[tex]Time= \frac{100}{40}[/tex]
[tex]Time= 2.5hr[/tex]
For person A
[tex]Speed = \frac{Distance}{Time}[/tex]
[tex]Speed = \frac{60}{Time}[/tex]
The journeys last for the same duration.
So;
[tex]Speed = \frac{60}{2.5}[/tex]
[tex]Speed = 24[/tex]
Person A's average speed is 24km/hr
