Question

While walking a distance of 24 km a man noticed that aftercwalking for. 1 hour and 40 minutes the distance walked by him was 5/7 of the remaining distance his speed of walking is

Answer 1

d represents the remaining distance

5d/7 represents the distance covered

 

d + 5d/7 = 24       multiply both sides by 7

7d + 5d = 168      combine like terms

12d =168              divide both sides by 12

d = 14

 

5(14)/7 = 10

 

The first 10 km were covered in 1:40.

 

His rate is 

 

10km /1:40             convert hour/minutes to seconds (1 hour = 3600 seconds)

10km/6000sec         convert km to m

10000m/6000sec    reduce

10m/6sec                reduce

1.66m/sec

 

The man is a very fast walker!!! hahaha

thanks 4 asking