A cheetah was chasing and antelope which is 700m away. How many minutes will it take the cheetah, which is running at a constant speed of 110km/h to reach the antelope that is running at a constant speed of 75km/h?

2 Answers

1 min 12 sec

Explanation:

Cheetah has to reach the antelope with its relative speed (115-75)=35 km/h.
Time = distance/speed = 0.7/35 km/h=1/50h = 1.2 min = 1min 2sec..

Time t=0.02 hours=1.2 minutes

Explanation:

time (Cheetah)=time(Antelope)

t_c=t_a

d_c/v_c=d_a/v_a

(0.7+x)/110=x/75

75(0.7+x)=110x

75(0.7+x)/5=(110x)/5

15(0.7+x)=22x

15(0.7)+15x=22x

7x=15(0.7)

x=1.5 km

Solve time t:

t=d_a/v_a=1.5/75=0.02 " "hour

t=0.02 * 60 =1.2 minutes

God bless....I hope the explanation is useful.