a circular track has a radius of 140m A boy runs on this track at a speed of 8.8km/h.How long will it take for him to run 12 rounds of the track
Answers
Distance to be covered to complete 1 round of the track = 2 × 22/7 × radius = 2 × 22/7 × 140
= 2 × 22 × 20 = 880 m
Distance to be covered to complete 12 rounds
= 880 × 12 m
Time taken = distance to be covered / speed
= 880 × 12 / 8.8 × 1000
= 880 × 12 / 8800
= 12 / 10
= 1.2 hours
Answer:
1 hour 12 mins
Step-by-step explanation:
Find the distance of 1 round of the track:
Circumference = 2πr
Circumference = 2π(140)
Circumference = 280π m
Find the distance of 12 rounds of the track:
1 round = 280π m
12 rounds = 280π x 12 = 10560 m = 10.56 km
Find the time needed:
Speed = 8.8 km/h
8.8 km = 1 hour
10.56 km = 1/8.8 x 10.56
10.56 km = 6/5 hour = 1 hour 12 mins
Answer: 1 hour 12 mins