a file of cadets consisting of ten rows and five colums measures 420 m in length along the direction of their marching. how much time would it take to march for a strech of 3km if the stride of each cadet is 80cm and he take 57 strides per minute.
Answers
Given :A file of cadets consisting of ten rows and five columns measures 420 m in length along the direction of their marching. How much time (in hours and minutes) would it take to march for a stretch of 3 km, if the stride of
each cadet is 80 cm, and he takes 57 strides per minute ?
A) 1 hr 15 min
B) 1 hr 20 min
C) 1 hr 24 min
D)1hr 10 min.
Solution :
given that,
→ stride of each cadet = 80 cm. = (80/100) = 0.8 m.
and,
→ Each cadet takes strides in 1 minute = 57
So, we can Say that,
→ in 60 seconds he cover = (57 * 0.8)m.
→ in 1 second he cover = (57 * 0.8) /60 = 0.76m.
Therefore, we can conclude that,
→ Speed to cover the distance = 0.76m/s.
Now,
→ Total distance to be covered = 420m(Distance to be covered by last cadet) + 3000 m (3km) = 3420 m.
Hence,
→ Total time taken to march for a stretch of 3km = (Total distance) / speed = (3420/0.76) = 4500 seconds = (4500/3600) = (5/4) hours = 1 hour + (1/4 * 60) = 1 hour 15 minutes . (Option A) (Ans.)
Learn more :
Prakash and Pramod are running along a circular
track having started at the same time from the same
point, in the same d...
https://brainly.in/question/18092491
2 friends decide to race around a circular track of 300 metres. Parvati covers 5 metres per step and finishes the race i...
https://brainly.in/question/25943021