The hare leaps 500 centimeters every 20 seconds. the tortoise crawls 250 centimeters every 50 seconds, but gets a 1000‑centimeter head start. use any method you know to determine how long it takes the hare to catch up to the tortoise.

Time taken for hare to catch up with the tortoise will be found as follows:
time taken=distance/(relative speed)
relative speed=(speed of hare-speed of tortoise)
speed of hare=500/20=25 cm/sec
speed of tortoise=250/50=5 cm/sec
relative speed will be:
(25-5)=20 cm/ sec
thus the total time taken for hare to catch up with the tortoise will be:
1000/20
=50 sec

50 sec