The scale on a map is 1 cm:18 mi. The distance on the map between Sacramento, CA, and Las Vegas, NV, is 21.5 cm. What is the actual distance between Sacramento and Las Vegas?

Step-by-step explanation:

Given:

Scale:

1 cm : 18 miles

Scaled distance = 21.5 cm

Actual Distance × scale = scaled distance

Actual distance = 21.5 cm × 18 miles/1 cm

= 387 miles

Actual distance between Sacramento, CA, and Las Vegas, NV = 387 miles.

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.