Answer:
t = 2.25 hrs
Step-by-step explanation:
Given:
- The first runner speed v1 = 9 mph
- The second runner speed v2 = 11 mph
- Second runner starts half an hour later than first
Find:
how long after the second runner starts well the second runner overtake the first runner
Solution:
- The time taken by second runner = t
- Distance traveled by first runner d is as follows:
d = 9* ( t + 0.5 )
- Distance travelled by second runner d is as follows:
d = 11*t
- Since the distance covered d is same for both runners then we equate the two expressions:
11*t = 9*t + 4.5
3*t = 4.5
t = 2.25 hrs
- They will meet after 2.75 hrs after first runner starts race.