How many minutes are in a hundred mile?

Answer 1

100 miles is approx 86.9 minutes [or arc].

1 nautical mile was originally defined as the length subtended along a line of longitude by 1 minute [of arc]. Thus 1 nmi = 1 minute [of arc]

Due to the earth not being a perfect sphere but a geoid, the length of a nautical mile would vary depending upon latitude; it has since been agreed to be exactly 1852 metres, ie 1 nmi = 1852 m (exactly)

1 mile = 1609.344 m (exactly)

→ 100 miles = 100 × 1609.344 m = 160934.4 m

→ 160934.4 m = 160934.4 ÷ 1852 nmi ≈ 86.9 nmi = 86.9 minutes [of arc] (≈ 1 degree 26 minutes 53.9 seconds)