charles is going to a campsite with his family. their campsite is 7/8 miles away. they walk at a steady speed 1 1/2 mi/h. how many minutes will it take them to get to the campsite?

Answer 1

distance = rate x time, so time = distance/rate

d = 7/8 mi; r = 1 1/2 mi/hr so the calculation is 7/8 ÷ 1 1/2 or 7/8 ÷ 3/2 (need to change the mixed no. to an improper fraction before calculating).

Division converts to multiplication (invert the 2nd fraction). 7/8 x 2/3 = 14/24, reduces to 7/12 hrs.

Need to convert to minutes as required by the question. 7/12ths of 60 = 7/12 x 60/1 = 35 minutes.

Answer 2

They need to walk 7/8 miles, and they walk at 1 1/2 miles/hr. 1 1/2 miles an hour = 3/2 miles an hour. (1 1/2 = 2/2 + 1/2 = 3/2 miles an hour)

(7/8 miles) ÷ (3/2 miles per hour) = 7/12 of an hour. Multiply (7/12 hours) by 60 minutes/hour to get ~35 minutes.

This makes sense because they're walking faster than a mile an hour, and the total distance they need to walk is less than a mile, so it should take them less than an hour.

Hope this helps!