Question

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.

Answer 1

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

Answer: 50 sec