Question

i walk to a town at 3 1/2 miles per hour.rest there for 45 minutes and ride back at 7 1/2 miles per hour. find the distance of the town when the total time taken having been 6 hours and 37 minutes. (chapter- Time and Distance)​

Answer 1

Answer:

$.$

Step-by-step explanation:

Since the distance covered is same,

Average speed = 2*a*b/(a+b), where a & b are respective speeds of to and fro journey.

Avg speed = 2*3.5*7.5/(3.5+7.5) = 4.77 km/hr (approx.)

Total time(including rest) = 6 hrs 37 minutes.

Rest = 45 minutes

Hence, travel time = 6 hrs 37 minutes - 45 minutes = 5 hrs 52 minutes = 5 52/60 = 5 13/15 hrs.

D = S * T = 4.77 * 5 13/15 = 4.77 * 88/15 = 28 Km

This is the total distance, that is, to and fro.

Hence distance to town = 28/2 = 14 Km.

Hope it helps.

Answer 2

Since the distance covered is same,

Average speed = 2*a*b/(a+b), where a & b are respective speeds of to and fro journey. minutes. Rest = 45 minutes

Avg speed = 2*3.5*7.5/(3.5+7.5) = 4.77 km/ Total time(including rest) = 6 hrs 37

hr (approx.)

Hence, travel time = 6 hrs 37 minutes - 45 minutes 5 hrs 52 minutes = 5 52/60 = 5 =

13/15 hrs.

D = S T = 4.77 5 13/15 = 4.77 88/15 = * *

28 Km

This is the total distance, that is, to and fro.

Hence distance to town = 28/2 = 14 Km.