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=#1/50#h = 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.