Question

a thief starts running and cover a distance of 8km in a day and a police man covers a distance of 5km in a day. Distance covered by police is increased by 3/4km per day. When would police catch the thief?

Answer 1

Answer:

after 5 days

Step-by-step explanation:

distance covered by thief in 1 day= 8km

distance covered by police in 1 day =5 km

distance covered by police increases by 3/4 per day

so ,applying nth term formula  of arithmetic progression

a=5km

anth=8km

d=3/4km

anth=a+(n-1)d

8=5+(n-1)*3/4

8-5=(n-1)*3/4

4*3/3=(n-1)

n-1=4

n=5