Math worksheet asking students to calculate how long it would take to travel different distances at given speeds using various modes of transport.

Explanation:
We need to find how long it takes for each activity. The formula is:

Time = Distance ÷ Speed

But we must make sure the units match! If distance and speed use different units (like miles vs. yards), we need to convert first.

Let’s go one by one:

1. Drive 175 miles at 25 miles/hour
Time = 175 ÷ 25 = 7 hours

2. Ski 12 miles at 3 miles/hour
Time = 12 ÷ 3 = 4 hours

3. Travel 20 miles on a bus at 60 miles/hour
Time = 20 ÷ 60 = 1/3 hour
1/3 hour = 60 ÷ 3 = 20 minutes

4. Travel 120 miles on a hot air balloon at 5 miles/hour
Time = 120 ÷ 5 = 24 hours

5. Travel 40 miles on a spaceship at 1200 miles/hour
Time = 40 ÷ 1200 = 1/30 hour
1/30 hour = 60 ÷ 30 = 2 minutes

6. Travel 2 miles on a sailboat at 1760 yards/hour
First, convert 2 miles to yards:
1 mile = 1760 yards → 2 miles = 2 × 1760 = 3520 yards
Speed = 1760 yards/hour
Time = 3520 ÷ 1760 = 2 hours

7. Crawl 17.6 yards at 0.1 miles/hour
Convert 0.1 miles to yards:
1 mile = 1760 yards → 0.1 mile = 0.1 × 1760 = 176 yards/hour
Distance = 17.6 yards
Time = 17.6 ÷ 176 = 0.1 hour
0.1 hour = 0.1 × 60 = 6 minutes

Now double-check each:

1. 175 ÷ 25 = 7 ✔
2. 12 ÷ 3 = 4 ✔
3. 20/60 = 1/3 hr = 20 min ✔
4. 120 ÷ 5 = 24 ✔
5. 40/1200 = 1/30 hr = 2 min ✔
6. 2 mi = 3520 yd; 3520 ÷ 1760 = 2 hr ✔
7. 0.1 mi/h = 176 yd/h; 17.6 ÷ 176 = 0.1 hr = 6 min ✔

All correct.

Final Answer:
7 hours, 4 hours, 20 minutes, 24 hours, 2 minutes, 2 hours, 6 minutes