Central park is a rectangle with an area of 840 acres. It is 1/2 a mile wide. One acre is 43,560 square feet. Two people start at the south-west corner at 1:30 pm and start walking round the park in opposite directions. One walks at 10 mph the other walks at 10 mph. How long until they meet again?. A mile is 5280 feet.

they meet after = 18 minutes 36 seconds

they meet at = 01:48:36 pm

Step-by-step explanation:

given data

area = 840 acres

wide = 1/2 mile

A mile = 5280 feet

1 acre = 43,560 square feet

One walks = 10 mph

other walks = 10 mph

solution

first we get here area  of the park

Area = 840 acres = 840× 43560 sq ft

and

Width of the park will be

B = 1/2 mile = (1/2)×5280 2640 ft

so length will be here

length ( L )  = Area ÷ width    1

L = 840 × 43560 ÷ 2640

L = 13860 ft

and

perimeter = 2(L+B)       2  

perimeter =2(13860+2640)

perimeter = 33000 ft  

so

when they start after they meet again when they together cover the perimeter of park

so

1st person speed = 10 mph = 52800 ft/hour

and

2ns person speed = 10 mph = 52800 ft per hour

so total distance cover both in 1 hour = 52800+52800

total distance cover = 105600 ft

so they meet after = 33000 ÷ 105600

they meet after = 0.31 hour = 00:18:36  

they meet after = 18 minutes 36 seconds

and

TIME at which they will meet  

they meet at = 01:30:00 pm + 00:18:36

they meet at = 01:48:36 pm

207/8 is the right